The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 X 1 1 X X 1 1 1 1 0 X 1 X 1 1 1 0 1 1 0 1 X 1 X 1 1 X 1 1 X 1 1 X 1 0 X 1 1 1 X X X 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 X+1 0 X X+1 1 0 X 1 1 0 1 X X 1 1 X+1 X+1 1 0 X X+1 0 X X 0 X+1 1 1 0 X 0 1 1 1 1 X+1 0 X 0 1 0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 0 1 1 X+1 1 1 0 X 0 1 1 X+1 X 1 X+1 1 X 0 X+1 0 X X X+1 1 1 1 X+1 0 X 1 1 X X X+1 X+1 0 0 1 1 X+1 0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 0 1 0 1 0 1 0 0 X+1 1 0 X+1 0 0 X 1 1 1 0 X+1 1 1 0 1 1 X+1 X X X+1 X 0 X X+1 1 1 X+1 0 X+1 0 1 0 X 0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 1 X+1 1 X 1 X 1 1 X X X+1 X+1 0 X+1 1 X X+1 0 0 0 1 X+1 X+1 X+1 X X X+1 0 0 X+1 0 X 1 0 1 X 1 0 1 X 1 1 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X X 0 X 0 X X 0 X 0 X 0 0 X X X 0 0 X 0 0 0 0 X X 0 0 X X 0 X X X 0 X X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 X 0 X X 0 0 X X 0 X X X X 0 0 X 0 0 X X X X X 0 0 0 0 0 0 X 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 0 0 0 0 X X X X X X X X X X X X 0 X X X X X X X X X X X 0 X 0 X X X X 0 X X X generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+197x^56+498x^58+721x^60+826x^62+937x^64+940x^66+996x^68+912x^70+859x^72+572x^74+408x^76+188x^78+102x^80+30x^82+2x^84+2x^86+1x^92 The gray image is a linear code over GF(2) with n=134, k=13 and d=56. This code was found by Heurico 1.16 in 10.6 seconds.