The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 0 X 1 1 X 1 X 1 1 0 1 X 1 1 0 X 0 1 0 1 1 X 1 1 X 1 X 0 X 0 0 1 X 0 X 0 1 0 1 X X 1 1 0 X X 1 1 1 1 1 1 0 0 1 1 0 X 1 1 1 0 X X X 0 1 1 1 X 0 X 1 X 0 1 0 0 1 1 X 0 1 0 X 1 0 1 0 0 0 0 X X X 0 X X X 0 0 0 0 X X 0 X 0 0 X 0 X X 0 0 0 0 X X+1 1 X+1 1 1 1 1 1 1 1 1 X+1 1 1 1 1 1 1 X+1 1 X 1 X+1 1 1 1 0 1 0 X 1 X 1 0 0 X+1 X 1 X+1 X+1 1 1 1 X X 1 1 X+1 X 1 1 X 0 0 1 0 X X X+1 0 1 X X+1 X 1 X+1 0 0 1 0 0 0 0 0 0 X 0 0 0 X X X X 1 1 X+1 X+1 1 1 1 1 X+1 1 1 1 X+1 1 X+1 X 0 1 0 X+1 1 1 X+1 1 0 X+1 0 X X+1 1 1 X+1 1 1 X 1 X 0 X X X+1 X 1 X+1 X 0 0 X+1 X X 1 X X+1 X X 0 0 1 1 0 X 1 0 0 X 1 1 X 0 X 0 1 0 X 0 X+1 1 X 0 0 1 0 0 0 1 0 0 0 0 X 0 X+1 1 1 1 X+1 X+1 1 1 1 1 X 0 0 X X X+1 X+1 X+1 X+1 X X 1 X 0 X+1 X X+1 0 X 0 0 1 X+1 0 X X 1 X+1 X+1 X X+1 1 0 1 X+1 X+1 X X+1 0 X+1 X+1 1 1 0 X 1 X 0 1 1 0 1 X X+1 X 1 1 1 1 1 X X 0 X+1 1 0 X+1 0 0 1 X+1 1 0 1 X+1 1 X+1 1 0 0 0 0 1 0 0 X+1 X+1 1 1 X 1 0 X+1 X X+1 X+1 1 X+1 1 X X+1 1 X X X 0 X+1 0 1 0 1 X+1 X X 1 X X+1 0 1 1 X+1 0 X+1 0 X X X+1 X+1 1 1 1 0 X+1 1 X X+1 X 0 X X 1 X X 1 1 X X X 1 X X X X X+1 X+1 X+1 1 1 0 0 X+1 0 1 1 0 X 1 0 X+1 0 X 0 X 0 0 X+1 0 0 0 0 0 1 1 X+1 X X+1 0 1 0 X+1 X+1 0 1 0 X X+1 1 X+1 0 0 X X X X+1 1 1 1 X+1 X+1 1 1 X+1 X+1 X X 1 X+1 1 0 X 0 0 X 1 1 X+1 0 1 1 X 1 0 1 X+1 1 X 1 X 0 0 X X 1 X+1 0 0 0 0 1 X X+1 X+1 X X+1 X+1 X X X+1 X+1 X+1 1 X X 1 X+1 1 X X 0 X 1 0 1 X+1 generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+82x^87+119x^88+156x^89+210x^90+208x^91+234x^92+260x^93+231x^94+198x^95+224x^96+222x^97+194x^98+192x^99+187x^100+148x^101+154x^102+166x^103+130x^104+128x^105+120x^106+78x^107+97x^108+68x^109+63x^110+72x^111+52x^112+38x^113+16x^114+26x^115+10x^116+4x^117+4x^118+2x^119+2x^120 The gray image is a linear code over GF(2) with n=196, k=12 and d=87. This code was found by Heurico 1.16 in 3.86 seconds.