The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+X 1 1 0 1 1 X X^2+X 1 1 0 1 1 X^2 1 1 1 1 X^2+X 0 1 1 X 1 X^2+X 1 1 1 1 X X^2+X 1 1 1 X^2+X 0 1 X^2 1 0 X^2+X 1 1 1 1 1 X 1 1 1 1 1 X 1 1 1 X^2 1 1 X^2 1 X^2 X^2 1 1 1 1 1 X^2+X 1 1 1 X X^2 0 1 1 X^2 X^2 1 1 1 0 1 X 0 1 0 1 1 0 X^2+X+1 1 X^2 X^2+X+1 1 X 1 1 X X+1 1 1 1 X^2+X 1 X^2+1 X^2+X 1 X^2+X+1 0 X^2+1 X 1 1 X^2+X+1 X 1 X^2 1 X^2+X+1 X^2 X^2+1 X 1 1 X+1 1 X 1 1 X^2+1 1 X^2+X+1 1 1 1 1 X X^2+X+1 X^2+1 1 1 1 X^2+X X^2 X+1 X X^2+X+1 X X 1 X^2+X X^2+X+1 1 X^2 1 1 0 X^2+1 X^2+X+1 X^2 X 1 X+1 0 X^2 X^2+X 1 1 X^2+X X+1 1 1 X^2 X^2+X X^2 X X^2+X+1 X 1 X 0 0 X 0 X^2+X 0 X X^2 X X^2 0 X^2+X X X^2 0 X^2+X X X 0 X^2 0 X^2+X X X^2+X X^2 X X^2+X X 0 X 0 0 X^2 X X^2+X X^2 0 0 0 0 X^2 0 X X^2+X X^2+X X^2 X^2 X^2 X^2+X X X X^2+X 0 X X X^2+X X^2 X^2+X X X X 0 X^2 X X^2+X X X^2+X X^2+X X^2 X^2 X^2+X X^2+X X^2+X X X^2+X 0 X^2+X X 0 X X X X^2 0 X^2 0 0 X^2 X^2 X^2 X^2+X X X X X^2 0 0 0 X 0 0 0 X X X^2+X X^2+X X X^2 0 X^2+X X^2 X^2+X X X X^2 0 X^2 X^2+X X^2+X X X^2 X X^2 X X^2+X X X 0 X^2 0 X^2 X^2+X X^2 X^2+X 0 X^2+X X^2 X 0 X^2+X X X X 0 X 0 X 0 X^2+X X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X^2+X X X^2+X 0 X^2 X X^2+X 0 X X^2+X 0 X^2 0 X^2+X 0 0 0 X X X^2+X 0 0 X 0 0 X^2 X X^2+X X X 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 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 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 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+60x^87+207x^88+186x^89+336x^90+234x^91+453x^92+226x^93+317x^94+230x^95+410x^96+204x^97+319x^98+148x^99+277x^100+142x^101+141x^102+52x^103+49x^104+26x^105+19x^106+4x^107+10x^108+8x^109+10x^110+6x^111+4x^113+8x^114+2x^115+4x^117+1x^120+2x^122 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 1.95 seconds.