The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 X 1 1 0 X 1 1 1 1 0 0 1 1 X 0 1 1 X 1 1 X 1 1 0 1 1 1 X 1 1 0 1 0 1 1 1 0 1 1 X 1 0 1 0 X 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 X+1 0 1 X+1 0 1 1 0 0 1 X 1 1 1 X+1 X X+1 1 1 1 0 X 1 1 X+1 X+1 1 X X+1 1 X 0 1 X+1 X 1 1 X+1 X+1 0 0 1 1 X+1 X+1 1 X X 0 X 1 0 1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 X 0 0 X X 0 0 X 0 0 X 0 X X 0 0 X 0 X 0 X X 0 0 X X X 0 X X X X 0 X 0 X X 0 0 X X X 0 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 X X X X X X X X X 0 X X X X X X X X X X X 0 0 X X 0 X 0 X X X 0 0 X 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 X X 0 X X 0 0 X X X X X 0 X 0 X X X X X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 X X 0 X X X 0 X X 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 X X X X X 0 X 0 X 0 X X 0 0 0 0 X 0 X 0 X 0 X 0 X 0 0 X X X X X X X 0 0 X X 0 X 0 0 0 0 X X 0 0 0 X 0 X X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 0 X X X X X 0 X X X X 0 X 0 0 X X 0 0 X X 0 X 0 X 0 X 0 X X X 0 X 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 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X X X X X 0 X 0 X 0 X 0 X 0 X 0 0 0 0 0 X 0 0 0 X 0 0 X 0 X X X 0 X X X 0 0 0 0 X X X 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X X X 0 0 0 X 0 X 0 0 X 0 X X 0 X X 0 X X 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 0 0 0 X X X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X 0 0 X X X 0 X 0 0 0 X X X X 0 0 X 0 X 0 X 0 0 0 X X 0 X X 0 0 0 X 0 X 0 X 0 0 X X X X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X 0 X 0 0 0 0 X 0 X X 0 X 0 X 0 X X X 0 X X X 0 0 0 X 0 0 X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 0 0 0 X X 0 0 0 X 0 0 X X 0 X 0 X X 0 0 0 0 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 X X X X X 0 X X 0 X 0 0 0 0 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+78x^60+58x^62+10x^63+244x^64+50x^65+226x^66+140x^67+421x^68+298x^69+433x^70+624x^71+617x^72+784x^73+752x^74+914x^75+853x^76+1212x^77+832x^78+1230x^79+888x^80+1106x^81+795x^82+832x^83+533x^84+498x^85+522x^86+276x^87+298x^88+140x^89+291x^90+66x^91+125x^92+8x^93+121x^94+4x^95+31x^96+47x^98+6x^100+16x^102+1x^104+1x^106+1x^110+1x^118 The gray image is a linear code over GF(2) with n=156, k=14 and d=60. This code was found by Heurico 1.16 in 55 seconds.