The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 X 1 1 1 1 X 0 1 X 1 1 0 1 0 1 X X 0 0 X 0 1 0 X X 1 1 X X 1 X 0 1 1 X 1 1 1 1 1 X 1 1 0 0 0 1 1 1 0 0 X 0 1 1 X 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 1 X 0 X 1 X+1 1 X+1 X 1 X 0 0 1 1 1 X 1 X 1 1 1 1 1 X 1 1 X 1 1 1 X X X+1 X X+1 X+1 0 0 X X 0 1 X X+1 1 1 1 0 X 1 X 1 X 1 X X 1 X X+1 X 0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 1 X X+1 1 X X+1 X+1 0 X X+1 X 0 1 0 0 1 1 X+1 0 0 0 X X+1 X+1 X+1 X+1 X 0 X X+1 X 0 1 X 1 X+1 X X 1 X 1 1 1 1 1 0 0 0 1 X 1 0 0 1 0 1 X 0 1 0 1 0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 0 1 1 0 X+1 X 1 1 0 0 1 0 X+1 1 0 X X 1 1 1 X X+1 X+1 0 1 0 X X+1 X+1 0 X 0 1 X+1 X 1 X X+1 0 1 0 1 X X+1 X+1 X+1 X+1 1 0 0 0 1 X+1 X+1 X+1 0 1 X+1 1 1 X 1 X 0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 1 X+1 0 X+1 X+1 X+1 0 X X 1 X 0 X 0 X 1 X+1 1 X 1 1 0 X+1 X 1 0 X+1 0 0 1 X X X X+1 X+1 1 1 1 X 0 1 X+1 X X+1 X 0 X+1 X+1 X X+1 0 1 0 0 1 1 X X X+1 0 X 1 X 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X 0 X 0 0 0 X X X X 0 0 0 X X 0 X 0 0 0 0 X 0 X X 0 0 X X X X 0 0 X 0 X X 0 X X X 0 0 X X X X X 0 0 0 X 0 0 0 X 0 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X 0 0 0 X X 0 X 0 0 X 0 X 0 X X X X X 0 0 0 X 0 X X 0 X 0 X X X 0 0 X 0 0 0 X X 0 X 0 X X X 0 0 0 0 0 X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X 0 X X X X X X X X X 0 X 0 0 X X X X 0 X X 0 0 X X 0 X X X X 0 X 0 generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+191x^76+496x^78+650x^80+792x^82+808x^84+877x^86+836x^88+814x^90+734x^92+626x^94+594x^96+348x^98+224x^100+121x^102+54x^104+22x^106+3x^108+1x^112 The gray image is a linear code over GF(2) with n=176, k=13 and d=76. This code was found by Heurico 1.16 in 15 seconds.