The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 1 X 0 X X 0 0 1 1 1 1 1 X X 1 X 1 1 1 0 1 1 X 1 0 1 1 1 0 X 1 1 1 1 X 1 0 1 1 0 X X X 1 1 1 X 1 1 0 1 0 1 X X 0 1 1 X 0 1 X 0 1 1 0 0 1 0 0 1 1 1 0 0 1 X+1 1 1 0 X X+1 X X+1 1 0 1 0 1 1 X X+1 0 1 1 1 1 0 X X X X+1 1 1 X 1 X+1 1 X X 0 1 0 X+1 X 1 1 1 X+1 1 X X 1 0 1 1 X+1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 1 X+1 0 X X 1 X+1 1 0 X+1 X+1 X 0 X+1 0 X+1 1 0 1 1 X+1 X+1 X+1 0 0 X X 0 0 1 X+1 1 1 0 X 1 0 1 X+1 1 X X X+1 1 X+1 X X+1 0 1 1 X+1 X X+1 X+1 1 0 0 1 1 X X 1 X X+1 1 X+1 X 0 1 0 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 0 0 X X X X X 0 0 X 0 0 X 0 X X X 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 X X 0 0 X 0 X 0 0 X 0 X X X 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X 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 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X X 0 X X X X 0 X X X 0 0 0 0 X 0 X 0 X 0 0 X X 0 X X X 0 0 0 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X X X X X X 0 0 X 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 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 X X X X 0 X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X X X X X X X 0 0 0 X 0 X 0 0 X 0 X 0 0 0 X X X X 0 0 X 0 X X 0 0 X 0 0 X X X X X X X X X 0 X 0 0 0 0 X X 0 0 X X X 0 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X X X 0 0 0 X 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 0 X X 0 X X X X 0 X X 0 X 0 0 0 X generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+121x^72+256x^74+436x^76+384x^78+537x^80+406x^82+482x^84+334x^86+402x^88+256x^90+209x^92+128x^94+85x^96+26x^98+21x^100+2x^102+5x^104+3x^108+1x^112+1x^116 The gray image is a linear code over GF(2) with n=166, k=12 and d=72. This code was found by Heurico 1.16 in 3.74 seconds.