The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 0 1 1 1 0 1 X X 1 1 X 1 0 1 0 0 1 1 1 1 X 1 0 X 1 0 1 X 1 0 0 1 1 1 1 0 1 1 0 0 1 1 X 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 0 X+1 X+1 X 1 1 X 1 X+1 X 1 0 1 X 1 1 0 X+1 X+1 X+1 1 1 0 1 X+1 1 X 1 0 1 1 0 0 X+1 0 X X 1 1 1 X+1 1 1 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 1 X+1 0 1 0 1 1 X X+1 X+1 1 0 X+1 X X 1 X 1 0 X+1 0 0 1 0 0 X+1 1 0 X+1 X+1 0 X X+1 X X 1 X+1 X 1 1 X+1 0 X+1 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 X 0 X 0 0 0 X X 0 0 X X 0 0 X X 0 X 0 0 X X 0 X 0 0 0 0 0 0 X X 0 X X 0 X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 0 X X X 0 X X 0 0 0 X 0 X X X 0 0 X X 0 0 X 0 X 0 0 X 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X X X X 0 X 0 0 0 0 X 0 X 0 0 X X X 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X 0 X 0 X 0 X 0 0 X X 0 0 X 0 0 X 0 0 0 X 0 0 X 0 0 X X 0 X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 X X 0 X X 0 X 0 0 X X X 0 X 0 X X X 0 0 X X 0 X 0 X 0 0 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 0 X X X 0 0 X 0 X 0 X 0 0 X X X 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 X X X X 0 0 0 X 0 0 0 0 X X 0 0 X X X 0 0 0 0 X 0 0 X X 0 0 X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X 0 0 X X X X 0 0 X 0 X X X X 0 0 X generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+88x^50+322x^52+504x^54+960x^56+1159x^58+2059x^60+1815x^62+2520x^64+1825x^66+2119x^68+1269x^70+927x^72+401x^74+260x^76+89x^78+39x^80+15x^82+7x^84+3x^86+1x^88+1x^108 The gray image is a linear code over GF(2) with n=128, k=14 and d=50. This code was found by Heurico 1.16 in 44.3 seconds.