The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 1 1 0 1 1 X^2 1 1 0 1 0 X^2+X 1 1 1 0 1 1 X^2+X 1 1 X^2+X X 1 1 X 1 0 X^2 1 1 1 1 X^2+X 1 X^2+X X X^2 X 0 1 1 1 1 1 X^2+X 1 X^2 1 0 X^2+X 0 1 X^2+X 0 X X^2 X X 1 X X^2 X^2 1 1 X^2 1 X 1 X 1 X^2+X 1 1 1 X^2 1 1 0 0 X^2 1 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+X X^2+1 0 X^2+1 1 X^2+1 X^2 1 X^2+X X+1 1 X+1 1 1 X^2+X X+1 0 1 X^2+X 1 1 X^2+1 X^2+X 1 1 0 X^2+1 1 X^2 1 1 X X^2+X+1 X^2+1 0 1 X+1 1 1 1 1 1 X^2+X+1 X^2+X+1 X+1 X+1 X+1 1 X 1 1 1 1 1 1 1 X^2 1 1 0 1 0 1 1 X X+1 X 0 X^2 X X^2+X 1 X^2+X 1 X+1 X^2 X^2+1 1 X+1 X+1 1 1 X X+1 X^2+1 0 0 X 0 X^2+X X X^2 X X^2+X X 0 X^2+X X X^2 0 X^2 X X X^2+X 0 X^2 0 X^2+X X^2+X X^2+X X X^2 X^2 X^2+X X^2 0 X^2+X 0 X^2+X X^2 X X 0 X^2+X X 0 0 X^2 X^2 0 0 X^2 X^2+X X^2 X X 0 X X X 0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X 0 X X^2+X 0 X 0 X^2 X^2+X X^2 X^2+X X X X^2+X X^2+X X^2 X 0 X X^2 0 X^2 X^2 X^2+X X^2 0 X^2 X^2+X X X^2 0 0 X^2+X X 0 0 0 X 0 X X X X X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2 X 0 X^2 X^2+X X^2+X X X^2 X 0 X^2+X 0 X 0 X^2+X X^2 X X^2 X^2+X X^2 X^2+X X^2 0 0 X X^2+X X^2 X^2+X X 0 0 0 0 0 X^2+X X 0 0 X^2+X X^2 X^2 X^2+X X 0 X^2 X^2+X X^2+X X X X 0 0 0 X^2 X^2 0 X X X^2+X 0 0 X^2+X X^2 X^2 X^2 X X X X X^2 X 0 X^2 X^2+X X X^2+X X^2+X X^2+X 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+200x^89+93x^90+262x^91+115x^92+220x^93+91x^94+264x^95+68x^96+246x^97+33x^98+130x^99+50x^100+108x^101+34x^102+70x^103+16x^104+16x^105+2x^106+8x^107+2x^108+6x^109+2x^110+2x^111+2x^112+1x^116+2x^117+1x^120+2x^121+1x^134 The gray image is a linear code over GF(2) with n=380, k=11 and d=178. This code was found by Heurico 1.16 in 59.4 seconds.