The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 0 1 X 1 0 0 1 1 1 1 1 0 X X 0 1 X X 1 1 X X 1 1 0 1 1 0 1 0 X X 1 1 0 0 X 0 1 1 1 0 1 1 1 X 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 1 0 1 X 1 1 0 1 1 0 1 0 0 0 0 0 X X X+1 X+1 1 1 X+1 1 1 0 X 0 X+1 0 X+1 1 1 0 1 1 X 1 X 0 1 1 X 1 X 1 X X+1 0 X+1 1 1 1 0 0 X 1 X X 0 1 1 1 X+1 1 X+1 1 0 X+1 1 1 X 1 0 0 X+1 X X+1 1 X 0 1 0 1 1 1 X+1 0 X X X 0 0 1 0 0 0 0 0 X 0 X X 0 X X 0 X 1 1 1 X+1 X+1 1 1 1 X+1 X+1 X+1 X+1 1 X+1 X+1 X 1 1 0 0 0 0 1 0 1 X X+1 X+1 X+1 X 0 0 0 X 0 1 X X+1 0 X 1 1 1 X 1 1 X+1 X X X X+1 0 X+1 X 1 X 1 1 0 1 X 0 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 X X X+1 X+1 0 X+1 X X+1 X+1 1 0 X 1 X+1 1 0 X X 1 X 0 1 1 X+1 1 0 1 X 0 X+1 0 1 0 0 1 1 1 X X+1 X 0 X+1 X 0 X X 0 X+1 X+1 0 0 X 1 1 0 1 1 0 X 1 1 X+1 X+1 1 1 0 X 1 0 1 0 0 0 0 1 1 X+1 0 1 X X X 1 1 1 1 1 1 X X+1 0 0 X X X X+1 0 1 1 1 1 X+1 0 X+1 X+1 1 0 0 X+1 X+1 X 0 X+1 1 0 X+1 1 1 0 1 0 X X+1 1 X 1 0 1 1 1 X+1 0 1 X+1 1 X X+1 X 1 X+1 X+1 0 1 1 X 1 X+1 X 0 X+1 X 1 0 0 0 0 0 X X 0 X 0 0 0 X X X X X X 0 X 0 0 0 0 0 X 0 X X X 0 0 X 0 0 0 X X 0 0 X X 0 0 X 0 0 0 X 0 X X X 0 X 0 0 0 X 0 X 0 X X X X 0 X 0 0 X X X X 0 X 0 X 0 X 0 0 generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+211x^74+262x^76+369x^78+176x^80+262x^82+140x^84+212x^86+86x^88+133x^90+64x^92+63x^94+33x^96+26x^98+6x^100+4x^102 The gray image is a linear code over GF(2) with n=164, k=11 and d=74. This code was found by Heurico 1.16 in 41.8 seconds.