The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 0 X 1 1 X 1 X 1 1 0 1 X 1 1 0 X 0 1 0 1 0 1 1 X 1 1 X 1 1 1 X X 0 0 X X 0 0 1 1 1 1 1 1 1 1 X 1 0 1 1 0 1 0 1 1 0 1 1 X X X X X 1 0 X 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 X X X 0 X X X 0 0 0 0 X X 0 X 0 0 X 0 X X 0 0 0 0 X X X X+1 1 1 X+1 1 1 1 X+1 1 1 1 1 1 1 1 1 X+1 1 0 X+1 X+1 1 X+1 1 X X+1 1 X+1 0 X 0 1 1 X X 1 0 1 1 1 0 1 1 1 0 0 X+1 1 X 1 1 0 1 1 0 0 1 0 0 0 0 0 0 X 0 0 0 X X X X 1 1 X+1 X+1 1 1 1 1 X+1 1 1 1 X+1 1 X+1 X X X 0 0 1 X+1 1 X 0 1 X+1 0 X+1 1 X+1 0 1 0 0 X 0 X X+1 X 1 1 X X+1 X X+1 1 1 0 X+1 0 0 1 1 0 X 1 0 0 X+1 X+1 1 0 X 1 X+1 1 1 X 0 X+1 0 0 0 1 0 0 0 0 X 0 X+1 1 1 1 X+1 X+1 1 1 1 1 X 0 0 X X X+1 X+1 X+1 X+1 X X 1 X X+1 X 0 X X+1 X+1 0 X+1 0 X 1 X+1 0 1 0 1 X X X+1 1 X+1 1 X 0 0 0 X X X+1 X+1 0 X X+1 1 0 1 X+1 1 X+1 X 1 X 1 0 0 0 1 X X X X X 0 X 1 0 0 0 0 1 0 0 X+1 X+1 1 1 X 1 0 X+1 X X+1 X+1 1 X+1 1 X X+1 1 X X X 0 X+1 0 1 0 1 X 1 X+1 X X 1 X 1 1 X+1 X X+1 1 1 0 X 0 0 1 1 X X+1 X+1 X 1 1 1 1 X+1 1 X 1 1 0 0 X 0 X+1 0 X 0 1 X+1 X 0 1 0 X X+1 1 X 1 X+1 X+1 X+1 0 0 0 0 0 1 1 X+1 X X+1 0 1 0 X+1 X+1 0 1 0 X X+1 1 X+1 0 0 X X X X+1 1 1 1 X+1 0 0 X+1 1 X+1 1 X+1 X 0 X X 0 X+1 X+1 X+1 X X+1 1 X+1 1 X X+1 0 X X 0 1 1 X+1 1 X+1 0 0 X X X+1 1 X X X+1 1 1 X X+1 X+1 X+1 X+1 1 X 1 X 0 X X X+1 X generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+212x^78+416x^80+486x^82+402x^84+488x^86+427x^88+346x^90+340x^92+288x^94+253x^96+210x^98+112x^100+60x^102+29x^104+22x^106+2x^108+2x^112 The gray image is a linear code over GF(2) with n=176, k=12 and d=78. This code was found by Heurico 1.16 in 53.9 seconds.