The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X X 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 X 1 0 1 0 X X 1 X X 1 1 1 X X 1 1 1 X 0 1 1 X 0 1 1 1 1 1 1 1 X 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 X 1 1 1 0 0 X 1 1 1 1 0 0 X+1 X 1 1 X+1 0 0 X 1 1 0 1 0 1 X+1 X 0 X+1 1 0 1 1 X+1 0 X+1 1 1 0 X 1 1 X 0 X+1 0 X+1 1 X+1 1 X X X+1 X 1 X+1 0 X X+1 X 0 1 1 1 X 0 0 X 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 X+1 X X+1 1 X+1 1 0 X+1 1 X 0 X+1 0 1 0 0 1 1 X X 0 X X 1 1 0 1 X+1 1 X X 1 1 1 X+1 X X+1 X 0 X+1 X+1 X+1 0 0 X+1 X+1 1 0 X X+1 X X 1 X 1 0 1 0 X+1 X+1 X 1 1 X 1 X+1 1 X 0 X 0 X+1 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X 0 X X 0 0 0 0 X X X X X 0 X 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 X 0 X 0 X X X 0 X 0 0 0 0 0 0 X X X 0 0 X 0 0 0 X X X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 X 0 0 X X X X 0 0 X 0 0 X X X 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 X X X 0 0 X 0 0 X X X 0 0 X 0 0 X X X X 0 0 0 X X X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X 0 0 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 0 X 0 X X X X X X X 0 X 0 X X X X 0 X X X X 0 0 X 0 X 0 0 X X 0 0 X 0 X X 0 X 0 0 X 0 X X X X 0 X 0 0 0 0 X X X X 0 0 X 0 X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X X X 0 X X 0 0 X X X 0 X 0 X 0 0 0 X 0 0 X X X X 0 0 X 0 X 0 0 0 X X 0 X X 0 X X 0 0 X X X X 0 X 0 0 X 0 X 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X X X X 0 X 0 0 X X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X 0 0 X X 0 0 0 X X X X X X 0 0 X X 0 0 0 0 0 0 0 X 0 X 0 X 0 0 0 X X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 0 X 0 0 X X 0 X 0 0 X X X 0 0 0 X X X X X 0 X 0 0 0 0 X 0 0 X X X 0 X 0 0 0 X 0 0 0 0 X X X 0 X 0 0 0 X 0 X 0 X X 0 0 0 0 X X X 0 X 0 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 X 0 X X 0 X 0 X X X 0 0 0 X 0 X 0 0 X 0 X X 0 X 0 X X 0 0 0 0 X 0 0 X X X 0 X 0 0 X X X 0 0 X 0 X X 0 X 0 0 X 0 0 0 X 0 0 X 0 X X X X X X X X 0 X generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+55x^78+50x^79+149x^80+132x^81+277x^82+246x^83+297x^84+352x^85+355x^86+344x^87+418x^88+484x^89+350x^90+454x^91+366x^92+454x^93+385x^94+474x^95+397x^96+372x^97+346x^98+314x^99+267x^100+196x^101+163x^102+140x^103+91x^104+52x^105+70x^106+26x^107+40x^108+6x^109+32x^110+15x^112+13x^114+6x^116+2x^118+1x^120 The gray image is a linear code over GF(2) with n=184, k=13 and d=78. This code was found by Heurico 1.16 in 16.9 seconds.