D95(d) IS Dunning-Huzinaga full double-zeta with a single set of d-functions (Dunning's exponents). If you want p's on H, the notation would be D95(d,p)
Diffuse functions would be added with the '+' suffix.
I recommend (again) you look at the Gaussian web-sitefor proper syntax and available basis sets. (www.gaussian.com/basissets)