E=mc^2. If you have enough energy, in any form, it is equivalent to mass and should disturb spacetime equivalently.
Light can also be used to push objects. Interestingly, sunlight exerts a pressure of 6.56e-10 [psi = lbs/in^2] or 4.53e-6 [N/m^2] on the Earth. This is roughly 5.75e8 [N] or 46 Space Shuttle SRBs. The gravitational force between the Earth and Sun is 3.52e22 [N], or + ~14 orders-of-magnitude.
Objects on Earth at the rotational equator at MSL weigh 0.2% less than at the rotational poles due to the centrifugal force.
Maybe better as "momentum-energy" than as "energy and momentum". "Stress-energy" is probably better still.
I don't think we have to consider the photons as such because large-photon-number beams sent from, to, and between spacecraft have been shown to deflect around masses in our solar system, sunlight generates measurable radiation pressure (and greybody radiation contributes to the Yarkovsky effect), and because your parent comment just asked about "light".
However, your t and my t can differ if we are in a quasilocally-different gravitational field, or accelerated or boosted with respect to each other. In that case one of us may prefer coordinates where some of the quantity in T^{tt} is instead in T^{tj} (the latter being momentum), or even in the pressure diagonal T^{ij}, i == j, i != t.(e.g. when considering a Shapiro test setting, or a "mirrored box of light").
Although I don't think that much of that particular stack exchange discussion, the accepted answer is right to aim readers at <https://en.wikipedia.org/wiki/Electromagnetic_stress%E2%80%9...>, which is almost wholly classical in its outlook. If one were really keen on thinking about gravitation and sufficiently small numbers of photons, it can get a bit messy or drive one towards the canonical quantization and canonical quantum gravity. As far as I can see nothing at your link goes anywhere close to that, or even really discusses the active or passive gravitational behaviour of an individual photon.
There's better in the sense of correctness, and there's better in the sense of "words that will be useful to someone who has never heard that light can create gravity". My inference is the GGP does not already have a deep technical background in general relativity. This guides the words I choose.
In General Relativity, any momentum is encoded in the stress-energy tensor in the Einstein Field Equations, which relates curvature (mainly described by the Einstein tensor) and matter (mainly described by the stress-energy tensor). The vacuum of General Relativity has the stress-energy tensor filled with zeroes in all its components; a wave or beam of light introduces one or more nonzeroes. In suitable coordinates and the flat spacetime of special relativity, this is encoded in the "p" (p for momentum) in e.g. E^2 = (pc)^2 + (mc^2)^2, a fuller version of the famous E = mc^2. See <https://en.wikipedia.org/wiki/Energy%E2%80%93momentum_relati...> for details.
Alternatively, we can consider the active and passive gravitational charges of a given mass, also commonly called the active gravitational mass and the passive gravitational mass. The passive charge describes a mass's response to a known source of gravitation; the active charge describes the strength of the gravitational effects generated by an object. In General Relativity the version of the equivalence principle that says that all objects fall identically no matter what their internal composition is ("universality of free fall") ensures that the passive and active charges are identical for all matter. Moreover, in the approximately three hundred years before General Relativity was first written down, there were many successful tests of the equality of the active and passive gravitational charges for many masses; many of these tests were motivated by the work of Newton.
In both Newtonian gravity and General Relativity, light is deflected around large masses (e.g. light from distant stars, or radio beams from <https://en.wikipedia.org/wiki/MESSENGER> grazing the sun, and also lunar laser ranging experiments), so in both theories light has a passive gravitational charge (or passive gravitational mass). If passive and active gravitational charges are identical or at least totally equivalent, light must also source gravitation.
