The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 X^2+X 1 X^2 1 1 X^2 1 1 1 1 X^2+X 1 X^2+X 1 0 1 1 1 1 1 1 X^2 X^2 1 1 1 X 1 X^2 1 1 X^2 1 0 1 1 1 1 1 X X^2+X 0 X X^2+X X^2+X X^2 1 1 1 1 X^2 1 1 1 1 1 1 1 X^2 1 X X 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 X^2 1 X X 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 X^2+X 1 X^2+X 1 X^2+X+1 X^2+X+1 1 0 X^2+1 X^2+1 0 1 X^2 1 X^2+X 1 X+1 X^2+1 X^2 X X^2+X+1 1 1 1 0 X^2 X 1 1 1 X^2+1 X^2+1 1 X^2+1 1 X^2+X 0 X+1 X+1 X+1 1 1 1 1 1 1 1 X 1 X^2 X 1 X^2 X^2+X+1 X+1 1 0 X^2+X X^2+1 1 X^2 1 1 X^2+1 X^2+X+1 X^2+X X^2+1 X+1 X X^2+1 1 1 X X^2+X X^2+X 1 X^2 X^2+X X^2 X 1 1 X 0 0 X 0 X^2+X 0 X^2+X X^2 X X X X^2 0 0 X^2+X X X^2+X 0 X^2 X^2 0 X X X X^2 X^2 0 X^2 0 X^2 X X X X X X^2+X 0 X X X X X^2 0 X X 0 X^2 0 X^2 0 0 X X^2+X X^2 0 0 X X X^2 X X^2 0 0 X X^2+X X^2 X^2+X X X^2 X^2+X X^2+X X^2 X X^2 X^2+X 0 X X 0 X^2+X 0 X X^2 X X X^2 0 X^2+X X^2+X X X X^2 X^2+X X X 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+106x^87+147x^88+284x^89+205x^90+320x^91+227x^92+390x^93+240x^94+420x^95+197x^96+366x^97+180x^98+344x^99+210x^100+200x^101+58x^102+76x^103+33x^104+24x^105+10x^106+6x^107+10x^108+10x^109+6x^110+6x^111+6x^112+6x^113+3x^114+2x^115+1x^122+1x^124+1x^130 The gray image is a linear code over GF(2) with n=380, k=12 and d=174. This code was found by Heurico 1.16 in 41.1 seconds.