The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 0 0 0 0 0 1 X 1 1 1 X 0 1 1 1 1 1 X 1 X 1 1 X 0 1 1 1 X 1 1 1 X 1 1 X X 1 1 1 0 X 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 1 0 X 1 X+1 1 X 0 1 X 1 0 1 0 1 0 1 1 1 X+1 X 1 1 X X 1 X X+1 X 0 1 0 X+1 1 1 X+1 0 X+1 1 X X+1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 1 1 X+1 0 X X+1 0 1 1 X+1 0 X X 1 X+1 X+1 X+1 X 0 X 1 X 0 1 X 1 1 X X 1 X 1 0 1 X+1 X+1 0 1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X 0 0 X 0 0 0 0 0 X 0 0 X X X 0 X X X 0 0 0 X 0 X X 0 X X X 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 0 X 0 0 X X 0 X 0 X 0 X 0 0 X X 0 0 X X X X 0 0 X X 0 X 0 0 0 0 0 X 0 X X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X X X X X X X X 0 X 0 0 X X X X 0 X X 0 0 0 0 0 0 0 X 0 X 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X 0 X X X X X X 0 0 X X 0 0 X 0 X 0 X X X 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 0 0 X 0 X 0 X 0 X X X 0 X 0 X 0 X 0 X 0 X X 0 0 X 0 0 0 X X X X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X 0 X X X 0 0 X 0 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X X X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X X 0 X X X X 0 0 X 0 0 X X 0 X 0 X 0 0 X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 X X 0 X X 0 generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+95x^50+268x^52+541x^54+753x^56+863x^58+1065x^60+1104x^62+1018x^64+896x^66+709x^68+485x^70+223x^72+91x^74+51x^76+14x^78+5x^80+7x^82+3x^84 The gray image is a linear code over GF(2) with n=124, k=13 and d=50. This code was found by Heurico 1.16 in 16.7 seconds.