The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 X 1 X 1 0 1 0 1 1 1 X 1 X X 1 1 1 X 1 1 0 1 0 1 1 X 1 1 1 1 1 0 X 1 0 0 1 X 1 1 1 1 0 1 1 X 1 0 1 0 X 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 X+1 1 1 X 0 1 X 1 1 0 X+1 0 X+1 1 X 1 X 1 1 X+1 1 X 0 0 0 1 X+1 1 X 1 1 X+1 0 X 0 X+1 0 1 0 1 1 X+1 1 X+1 X X 1 X X+1 1 1 X 1 1 1 1 0 1 0 0 0 1 X 1 1 1 0 1 X+1 X 1 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 X 1 X X+1 1 1 1 X 1 X+1 X 0 X X+1 1 X 0 X X+1 1 0 X X+1 0 X 1 1 0 X+1 X+1 0 X X 1 X X+1 X+1 X 0 X+1 X X+1 X+1 X 1 X X+1 1 1 1 X 1 0 X+1 X X 1 1 0 1 1 1 1 1 1 1 X+1 X 0 0 0 X 0 0 0 0 0 X X 0 0 X X X X X X 0 X X X 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 0 X X 0 X 0 0 X 0 X X X 0 0 X X X 0 X 0 0 X 0 0 0 0 0 X 0 X X 0 0 0 X X 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X X X X X X X X X 0 X 0 X 0 X 0 X X X X X 0 X X 0 X 0 X X 0 0 0 0 X 0 0 X X X X 0 0 X 0 X 0 X 0 0 0 0 X X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 X 0 0 X X X X X X X X X X X X 0 0 X X X X X X 0 X X X 0 X X 0 X X 0 X 0 X X X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X X X X 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 X X X X 0 0 0 0 X 0 X 0 X X X X 0 0 X 0 0 0 X 0 0 X 0 X 0 X X 0 X 0 X X 0 X 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 0 0 X 0 X X X X X 0 0 0 0 X 0 X 0 X X 0 0 X 0 0 0 0 X X X 0 0 X X X X 0 X 0 X 0 X X X X X X 0 X X 0 X X 0 0 X X X X X X X 0 0 X X 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X X X X 0 0 X X X X X 0 0 X X X X 0 X 0 0 X X X X 0 0 0 X X X 0 X 0 X 0 X X X X 0 0 X X X X X 0 0 0 0 X 0 X 0 X 0 0 0 0 X 0 X X generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+110x^70+271x^72+388x^74+455x^76+471x^78+467x^80+439x^82+385x^84+331x^86+312x^88+225x^90+126x^92+61x^94+18x^96+17x^98+9x^100+3x^102+3x^104+3x^106+1x^108 The gray image is a linear code over GF(2) with n=162, k=12 and d=70. This code was found by Heurico 1.16 in 3.69 seconds.