The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 X 1 X 0 X 1 1 X 1 X 1 0 0 X 0 1 0 0 X 1 1 1 X X 1 X 1 1 1 0 1 1 1 0 0 1 X X 1 1 0 X 0 0 X X 0 1 1 1 1 0 1 0 1 X 1 1 1 1 1 0 1 1 1 1 X 0 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X X 0 1 1 X X+1 1 0 1 1 X X 1 1 1 X+1 0 1 0 X 1 1 1 0 X 1 X+1 X 1 1 X X 0 0 1 0 0 1 1 0 X 1 X 1 1 X 1 X+1 X+1 X X+1 1 X+1 0 X+1 0 1 0 1 1 X 1 X+1 X+1 0 X 0 1 X+1 X 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 1 0 X X 0 0 1 1 1 1 X X 0 0 0 X 1 1 1 1 X 0 1 1 X+1 X 1 X+1 1 X+1 1 0 1 1 X+1 X 1 X X+1 0 1 X+1 1 1 0 1 X X+1 0 0 0 X+1 1 X X 1 1 0 1 X+1 X 0 X+1 0 0 X 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 0 X+1 0 X 1 1 0 0 1 X X 1 X+1 0 X+1 0 X+1 1 X 0 X 1 0 X X+1 1 1 1 X+1 0 0 0 0 X+1 X 1 X 0 X X 1 X+1 1 0 X 1 X+1 0 X X X 0 1 1 1 1 X X X 1 X+1 0 X+1 X 0 0 X+1 X+1 X+1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 X 0 X 0 X 0 X 0 X X 0 0 X X 0 0 X X X X 0 X 0 X 0 X 0 0 X X X 0 0 0 X X 0 X 0 X 0 0 X X X X X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X 0 X X X X X 0 0 0 X 0 X 0 X 0 0 0 0 X 0 X X 0 0 0 0 X X 0 0 0 0 X X X X X X 0 X 0 X X 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 0 X 0 X X 0 0 0 0 X X 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 0 X X X X X X X X X X X X X X X X X X X X X X X 0 X X X 0 X X 0 0 0 X 0 X X X X X 0 0 X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 X X 0 X X X 0 0 0 X X 0 X 0 0 X X 0 0 0 X 0 X X 0 0 X X 0 0 X 0 0 X X X X 0 X X X 0 X X 0 0 0 X 0 0 X X 0 0 0 0 X 0 X X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X 0 0 X X X X 0 0 X 0 0 X 0 0 X 0 X X 0 X 0 0 X X 0 0 X X X X 0 X 0 X X X 0 X 0 X 0 X X 0 0 X X X 0 X 0 0 X 0 X X X X 0 X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X 0 X X X X 0 X 0 0 0 X X 0 X X 0 0 X 0 0 X X 0 0 X X 0 0 X X X 0 X 0 0 X 0 0 0 X 0 0 X X X X X X X X 0 0 0 0 X X X X 0 0 X X 0 0 0 X 0 0 generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+68x^78+90x^79+217x^80+248x^81+367x^82+440x^83+510x^84+566x^85+615x^86+658x^87+669x^88+766x^89+799x^90+884x^91+855x^92+908x^93+851x^94+878x^95+832x^96+776x^97+768x^98+720x^99+628x^100+558x^101+378x^102+310x^103+276x^104+222x^105+176x^106+100x^107+79x^108+48x^109+52x^110+16x^111+20x^112+4x^113+17x^114+8x^116+3x^118+1x^120+1x^122+1x^126 The gray image is a linear code over GF(2) with n=186, k=14 and d=78. This code was found by Heurico 1.16 in 65.7 seconds.