The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 0 X X 1 0 X 0 1 X 0 1 1 X X 1 1 X X 1 0 0 1 1 X 0 1 0 0 1 X 1 X 0 1 0 X X X 0 1 1 X 0 1 X 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 1 1 X+1 X+1 X+1 1 1 X+1 0 1 1 1 1 0 X 1 1 X X 1 1 0 X+1 0 0 X X+1 X 0 X 1 X 1 0 X 1 X+1 1 X 0 1 X+1 1 1 1 0 0 X+1 X X 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X 0 X+1 1 1 X+1 X+1 1 1 X+1 X+1 1 X+1 1 1 1 X+1 X 1 X+1 1 1 X+1 X+1 1 0 0 1 1 1 X+1 X X 0 1 1 0 X 1 1 1 X+1 X 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 1 X+1 X X 1 X+1 X X 1 X+1 1 X+1 X 0 0 X+1 0 X X+1 X+1 1 1 0 1 X X+1 X X X+1 1 X+1 X+1 X X+1 X+1 1 0 X X 1 X+1 X+1 X+1 X+1 X 0 X+1 X 1 X+1 1 X X+1 X+1 1 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 0 X X 0 X 1 1 1 0 X X+1 X+1 1 X X 1 X X+1 X+1 X+1 X+1 X 0 X 0 1 X+1 0 1 1 X+1 X+1 X+1 X+1 1 X+1 1 X+1 X X 1 0 X 0 1 0 1 X+1 0 1 X X X+1 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 1 X+1 1 X+1 1 X X 0 1 0 X+1 X 1 1 0 X 1 1 X+1 X+1 0 X+1 1 X+1 0 0 X X 1 X 1 X+1 X X X+1 0 X 0 X X 1 X+1 1 0 1 X+1 0 1 X+1 0 0 1 X X+1 1 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X X+1 X X+1 X X+1 0 1 X 0 X+1 1 X+1 0 1 X+1 0 0 X+1 X 0 0 0 X 1 X+1 X+1 1 0 X X 0 X+1 0 X+1 1 0 X X+1 X+1 0 0 X X 1 0 1 1 X+1 X+1 0 X+1 1 1 1 X generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+60x^59+213x^60+264x^61+353x^62+528x^63+512x^64+616x^65+722x^66+776x^67+909x^68+926x^69+916x^70+948x^71+951x^72+920x^73+961x^74+898x^75+911x^76+830x^77+665x^78+638x^79+523x^80+434x^81+296x^82+226x^83+187x^84+100x^85+50x^86+22x^87+13x^88+6x^89+4x^90+4x^92+1x^122 The gray image is a linear code over GF(2) with n=144, k=14 and d=59. This code was found by Heurico 1.16 in 81.9 seconds.