Based on cyclic simplex codes, a new construction of a family of two-weight codes is given. These two-weight codes are in a simple 2-generator quasi-cyclic form. Based on this construction, new optimal binary quasi-cyclic [195, 8, 96], [210, 8, 104] and [240, 8, 120] codes, good QC ternary  [195, 6, 126], [208, 6, 135], [221, 6, 144] codes are thus obtained. It was also shown that some codes that meet the Griesmer bound and thus are optimal. Furthermre, binary  self-complementary codes in a 3-generator quasi-cyclic form,  are also constructed.