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 0 X 1 X 0 1 0 X 1 1 0 1 0 X 1 X 1 0 1 X 0 0 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 X 1 0 X 1 X+1 X 1 1 X 1 0 1 1 X 1 X 1 X+1 1 0 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 0 X 1 1 1 0 1 X+1 X 0 1 0 X 0 1 1 0 0 X+1 X 1 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 1 X X 0 X+1 0 X X+1 X+1 1 X+1 1 0 X X X 0 X 0 X X+1 0 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 X X 1 X+1 1 0 X+1 X+1 X X+1 0 0 X X+1 X+1 0 0 X 1 0 X+1 0 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 1 1 0 X 1 X+1 X 0 1 1 X X+1 0 1 1 X+1 X+1 X 1 0 0 X generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+216x^76+394x^78+446x^80+486x^82+479x^84+390x^86+345x^88+340x^90+341x^92+258x^94+180x^96+116x^98+56x^100+26x^102+12x^104+6x^106+4x^108 The gray image is a linear code over GF(2) with n=172, k=12 and d=76. This code was found by Heurico 1.16 in 9.38 seconds.