The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 X 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 X 1 1 X 0 1 X X X 1 1 1 X 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 0 X+1 1 X+1 1 0 X+1 X+1 0 1 1 X 0 X+1 X 1 1 X+1 1 1 0 X+1 X+1 X X X+1 1 0 1 1 1 0 0 1 1 X+1 0 X+1 X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X 0 X X 0 X X X X 0 X X X 0 0 X X X 0 0 0 0 X X 0 X 0 0 0 X 0 0 X X 0 X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X X 0 X 0 0 X 0 X X X X X X 0 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X 0 X 0 X X 0 X 0 X 0 X 0 0 X X X 0 X 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 X X X 0 X X 0 0 0 0 X 0 0 0 X 0 0 X 0 0 0 X 0 X 0 X X X 0 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X X 0 0 X X X 0 X X 0 0 0 X X X 0 X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 X X 0 X X X 0 X X 0 X X X 0 X 0 0 X X 0 X 0 0 0 X X X 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 0 X X 0 0 X 0 X X 0 X 0 X 0 0 X X 0 0 X 0 X X X 0 X X 0 0 X X X X generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+18x^49+62x^50+56x^51+116x^52+78x^53+125x^54+136x^55+122x^56+140x^57+115x^58+128x^59+133x^60+196x^61+112x^62+144x^63+72x^64+66x^65+52x^66+40x^67+46x^68+14x^69+29x^70+8x^71+12x^72+11x^74+9x^76+6x^78+1x^80 The gray image is a linear code over GF(2) with n=118, k=11 and d=49. This code was found by Heurico 1.16 in 56.7 seconds.