The generator matrix 1 0 0 1 1 1 X^2+X X 1 1 1 X^2 X^2 1 0 X 1 1 1 1 X X 1 X^2+X 1 0 1 1 0 0 1 1 1 0 1 1 1 1 X X^2 1 1 1 1 1 X X^2+X 1 X 1 1 X X^2 1 0 1 0 0 1 1 1 1 X^2+X 1 X 1 X^2+X X 1 1 X X^2+X X^2+X 1 1 1 X 1 0 X^2 1 X^2 1 X^2 0 X^2+X X^2 1 1 1 X 0 1 0 1 0 0 1 X+1 1 X^2 X^2+X+1 X+1 X^2+X 1 1 X^2 0 1 X X^2+X X+1 1 1 X X^2+1 1 X^2+1 X^2+X X^2 0 1 1 0 X^2+1 X^2 1 X^2+X X+1 X+1 X^2+X X 1 1 X 1 X+1 0 1 1 1 1 X+1 X^2+X X^2 1 0 X X^2+1 1 X^2 X X+1 1 X^2 1 X^2+1 X X+1 1 1 X^2+X+1 X^2+1 0 1 0 X+1 X^2+1 X^2+X+1 X X+1 X 0 X^2+X 1 1 1 1 0 1 X^2 X+1 0 X 1 X^2 0 0 1 1 1 X^2 1 1 X+1 X^2+X X^2+1 X^2+1 X^2+X X 1 0 0 X^2+X+1 1 X^2 X+1 1 X+1 X X 1 X^2+X+1 X X^2+X+1 1 X+1 X^2+1 X^2+X 0 1 X+1 X^2 X^2+X 1 X^2+X+1 X+1 X^2 X+1 0 X^2+1 X X 0 X^2+X+1 1 X 1 X+1 1 1 X X^2+X 1 X^2 X^2+X+1 X+1 X^2 X+1 X^2+X 1 X^2+X X^2+X X^2+X 0 X 1 X^2+1 1 X^2+1 X^2 X^2+1 1 X^2+1 X^2+X 1 X^2+X+1 X^2+X 1 0 X^2 1 X^2+X+1 X+1 X^2+X X^2+X 1 0 X^2 0 0 0 X X^2+X 0 X X X^2+X 0 X^2+X X^2+X 0 0 X^2+X X^2 X^2 X X^2+X X^2 X^2+X X^2+X X^2+X 0 X^2 X X X^2+X X^2 0 X^2 X^2 X X X^2 X^2 X X 0 0 0 X^2+X 0 X^2 0 X^2 X^2+X X^2+X 0 X^2 0 X^2+X X X^2 X^2 X X^2+X 0 0 X^2+X X X^2+X X^2 0 X X X^2 X 0 0 0 X^2+X X^2 X X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X X^2+X X X^2 X X^2+X X^2 X^2 X^2+X 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+76x^86+234x^87+379x^88+358x^89+340x^90+398x^91+356x^92+350x^93+301x^94+238x^95+201x^96+190x^97+134x^98+112x^99+140x^100+64x^101+57x^102+60x^103+31x^104+16x^105+17x^106+14x^107+8x^108+14x^109+4x^112+1x^114+2x^118 The gray image is a linear code over GF(2) with n=372, k=12 and d=172. This code was found by Heurico 1.16 in 1.64 seconds.