The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 X 1 1 X 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 1 X+1 1 0 1 0 X+1 1 0 X+1 1 0 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 0 X+1 1 X 1 1 0 X+1 1 X 1 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 X 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X X 0 X X 0 X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 0 X X 0 X 0 0 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 0 X X X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 0 0 0 X X 0 X X X 0 0 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 X X 0 X generates a code of length 95 over Z2[X]/(X^2) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+62x^94+128x^95+62x^96+2x^126+1x^128 The gray image is a linear code over GF(2) with n=190, k=8 and d=94. As d=94 is an upper bound for linear (190,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.228 seconds.