The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 X X X 0 0 X 0 X X 0 1 1 0 1 1 1 X 1 0 1 X 1 X 0 X X 0 1 X 0 1 1 1 X 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 X X 0 1 X X 1 1 X+1 1 1 1 1 1 1 1 1 1 0 0 0 X+1 X+1 X 1 0 X X+1 X 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 X X+1 1 1 1 1 1 X X X 1 X X+1 X+1 X+1 1 0 0 X 1 X+1 X 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 X+1 X+1 0 X+1 X+1 X+1 1 X 0 X+1 X+1 X+1 1 1 X 0 X+1 X+1 1 0 1 X+1 X X+1 1 0 1 X+1 1 1 1 1 0 1 0 0 1 0 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 0 0 0 0 1 1 1 0 0 1 1 X 1 1 1 X X+1 X+1 1 X X+1 0 0 1 X 0 0 0 X X+1 1 1 0 0 0 0 1 X+1 X+1 X 0 0 X+1 X 1 X 1 1 0 1 0 0 0 0 0 0 0 0 X 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 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X X X 0 X X 0 0 X X X 0 0 X X 0 X X 0 X 0 X X X 0 0 X X X 0 X 0 X 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 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 0 X X 0 0 X X 0 X 0 0 X X X X 0 0 0 X 0 0 0 0 X X 0 0 X 0 X 0 0 0 0 X 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X X X 0 X 0 X 0 0 0 X 0 X 0 X 0 X 0 0 0 0 X X X X 0 0 X 0 0 X 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 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 0 X X X X X X 0 X 0 0 X X X X 0 X 0 0 X X X 0 0 0 0 0 0 X 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 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 X 0 X X X X X X X 0 0 X 0 0 0 X 0 0 0 0 X 0 X 0 0 X 0 X X X X X 0 0 0 0 X 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 0 generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+21x^40+42x^42+121x^44+234x^46+434x^48+663x^50+933x^52+1104x^54+1144x^56+1052x^58+903x^60+703x^62+405x^64+231x^66+119x^68+54x^70+10x^71+11x^72+66x^73+12x^74+170x^75+4x^76+346x^77+1x^78+710x^79+1284x^81+1932x^83+2446x^85+2568x^87+2346x^89+1892x^91+1262x^93+742x^95+376x^97+148x^99+10x^100+58x^101+21x^102+18x^103+52x^104+8x^105+104x^106+2x^107+255x^108+426x^110+673x^112+910x^114+1036x^116+1142x^118+1092x^120+968x^122+695x^124+410x^126+201x^128+94x^130+68x^132+17x^134+14x^136+4x^138 The gray image is a linear code over GF(2) with n=174, k=15 and d=40. This code was found by Heurico 1.16 in 99.8 seconds.