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 0 1 1 0 1 1 0 1 1 1 1 X 0 1 1 1 0 1 0 1 X 1 1 X 1 1 1 1 1 1 1 0 1 1 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 1 1 X X+1 1 0 1 1 0 X+1 X X+1 1 1 X+1 X+1 0 1 X 1 X 1 0 0 1 X X+1 1 X+1 0 X X 1 X+1 X 1 X+1 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 0 X X 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X 0 0 0 0 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 X X X 0 X 0 X X 0 X X X 0 X X 0 X X X X X X X X X X X X X 0 0 0 0 X X 0 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 X 0 X 0 0 X X 0 X X X 0 0 X 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 X 0 0 0 X 0 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 X 0 0 0 0 X X X 0 0 X X 0 0 0 0 X 0 X X X X 0 X X 0 X 0 0 X X 0 X 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 0 X X 0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 0 X 0 0 0 X X X X 0 0 X X 0 X 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 X X X 0 X 0 0 X 0 0 X 0 X X 0 X X X 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 X X 0 X 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 X 0 X 0 X 0 0 0 X X 0 X 0 X X 0 0 X X 0 X X 0 X X X 0 0 X 0 0 0 X 0 0 X X generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+46x^52+133x^54+223x^56+258x^58+259x^60+279x^62+241x^64+225x^66+198x^68+99x^70+32x^72+20x^74+15x^76+9x^78+6x^80+1x^82+2x^84+1x^88 The gray image is a linear code over GF(2) with n=124, k=11 and d=52. This code was found by Heurico 1.16 in 0.687 seconds.