The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 X 0 1 X 0 1 1 1 0 1 X 0 1 1 1 1 0 1 0 0 0 1 1 1 1 X X 0 1 1 1 X 0 1 1 1 0 1 1 1 X 0 X 1 1 1 1 1 1 X X X X 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 0 1 X X X+1 0 1 1 1 1 X+1 0 0 1 X+1 1 1 X 0 X+1 0 X X 1 X 0 X 1 0 1 X 1 0 1 0 1 0 1 1 X X 0 0 1 1 1 X 1 1 0 X+1 X 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 1 0 X+1 1 0 X+1 X 1 1 0 X+1 1 1 1 0 X 0 0 X+1 0 1 X+1 X+1 1 X 1 1 1 1 X+1 X 1 1 1 X+1 X 1 X+1 0 0 X X 1 0 X 0 X X+1 0 1 X+1 X+1 1 1 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X X X X 0 X X 0 0 0 0 X X 0 0 0 0 X 0 X 0 X 0 X X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 0 0 X X 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 X X X X 0 X X X 0 X 0 0 X X 0 0 X X 0 0 0 X X 0 0 X X 0 X 0 X 0 X X 0 X X 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X X 0 X X 0 X 0 X 0 X X X X X 0 X 0 0 0 0 X 0 X X X X 0 X X 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 X 0 X 0 0 X X X X 0 0 0 0 X 0 X X X X 0 0 X 0 0 X X 0 0 X X 0 X X X 0 X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X 0 0 0 X 0 X X 0 0 X 0 0 X X X X X X 0 X X 0 X 0 X 0 0 X X X X X 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X X 0 0 X X 0 X X X 0 0 X X 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 X 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 0 X 0 0 0 X 0 X 0 X 0 X 0 0 X X X X 0 X X X X 0 X 0 0 0 X X X X 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+184x^60+282x^62+635x^64+608x^66+1000x^68+940x^70+1076x^72+848x^74+933x^76+642x^78+513x^80+224x^82+202x^84+40x^86+46x^88+17x^92+1x^96 The gray image is a linear code over GF(2) with n=144, k=13 and d=60. This code was found by Heurico 1.16 in 12.2 seconds.