The generator matrix 1 0 1 1 1 X^2 1 1 0 0 1 1 1 0 1 X^2 1 1 0 1 1 1 0 1 1 X 1 X 1 X 1 1 X 1 0 1 1 1 1 1 X^2+X X 1 1 X 1 1 X^2+X 1 X X^2+X 1 X^2 1 1 X^2 1 X^2+X 1 X^2 0 1 1 X^2+X 1 X^2 0 1 0 1 1 1 X 1 X 1 1 1 1 1 X 1 1 1 1 1 X 1 0 1 1 1 1 1 0 1 1 0 1 1 X^2 X+1 1 1 0 X^2+X+1 X^2+1 1 0 1 X^2 1 1 1 0 X^2+1 1 X X+1 1 X 1 X^2+X+1 1 X X+1 1 0 1 X+1 X^2+X X+1 X^2+X+1 X^2+X 1 1 X+1 X^2+1 1 X^2+1 X 1 X^2 1 1 X^2+X 1 1 X^2 1 X^2+1 1 X^2+X 1 1 X^2+X X 1 X^2+1 1 1 X^2+X+1 1 X^2+X X^2+1 X 1 X^2+1 1 1 X+1 0 X^2+1 X^2+1 X^2+X X+1 X^2 X+1 X^2+1 X 1 X 1 X^2+X+1 X^2 X^2 X+1 0 0 0 X 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X X^2+X X^2+X X X^2+X X^2+X X X^2+X X^2+X X^2+X X^2+X X^2+X X^2 0 X^2+X X^2+X 0 X^2 0 0 X^2+X X^2 0 X^2+X X^2+X X^2 X^2 X X^2+X X^2+X X 0 X^2+X 0 X X^2 X X^2+X 0 X 0 X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2+X X 0 X^2 X X X^2+X X^2+X 0 X^2 X^2+X X^2 X^2 X^2 X^2 X X^2 0 X X^2 0 X^2+X X^2+X 0 X^2+X X^2 X^2+X 0 X^2+X 0 X 0 0 0 0 X 0 0 X^2 X^2 X X X^2+X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X^2 X X 0 0 0 X^2+X 0 0 X^2 X X^2 0 X^2 X^2+X X^2+X X 0 X^2 X X 0 X^2 X^2+X 0 X^2 0 X^2+X X X X^2 X^2+X 0 X X^2+X X^2 X 0 X^2+X X^2+X X^2 X^2+X X^2 X^2+X X^2+X X^2+X X 0 0 X X^2 0 X^2+X X^2+X X^2+X X^2 0 X X X^2 X^2 X^2 X^2+X X 0 X^2 X^2 0 X^2 X^2 0 X X^2 X 0 X 0 0 0 0 X X^2+X X^2+X X^2 X^2+X 0 X^2+X 0 X X^2 X^2+X X^2+X X 0 X X^2+X X^2 X X^2 X^2 X^2 X^2+X X^2+X X^2+X X X^2 X^2 X 0 X X X^2 X 0 X X X^2 0 0 X^2+X X^2+X X^2+X 0 X 0 X 0 X^2+X X 0 X^2+X X X^2 X^2 X^2 X^2 0 X^2+X 0 X^2 X 0 0 X X^2+X 0 X^2 X^2+X X^2 X^2 X^2 X^2 X^2 X^2+X 0 X^2+X 0 X X X^2 X 0 0 0 X 0 X X^2+X 0 X generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+48x^86+134x^87+292x^88+218x^89+425x^90+252x^91+412x^92+210x^93+338x^94+182x^95+361x^96+244x^97+345x^98+152x^99+206x^100+84x^101+76x^102+20x^103+13x^104+14x^105+10x^106+8x^107+16x^108+10x^109+4x^110+4x^111+10x^112+4x^113+2x^122+1x^128 The gray image is a linear code over GF(2) with n=376, k=12 and d=172. This code was found by Heurico 1.16 in 1.72 seconds.