The generator matrix 1 0 0 1 1 1 0 1 X^2 1 1 X X^2+X 1 1 X^2+X 1 1 1 X 0 1 0 1 X^2 X 1 1 X^2+X 1 1 0 X 1 X^2 1 1 X^2+X 1 X^2+X 1 X^2+X 1 1 1 1 1 1 X^2+X X^2 1 X^2 0 X^2+X 1 X X^2 1 X^2 0 1 0 1 1 1 X^2+X 1 1 1 1 1 0 1 X^2+X X^2 1 1 X^2+X 1 X 0 1 1 1 1 0 0 X^2+X 1 X 1 1 1 X^2+X 1 1 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2 X^2+X+1 0 X^2+X X^2+1 X+1 X^2+X 1 1 0 X X 1 1 X^2+X+1 X^2+1 X 1 X+1 1 1 X 1 X 1 1 X^2 0 X+1 1 X^2+X X^2+X+1 X^2 X^2+X+1 X^2 X^2 1 1 X^2+1 X^2 1 0 X^2+X+1 X^2+X 1 X+1 1 1 1 1 X+1 X^2 X X X X^2+X+1 X+1 X^2 0 X X^2+1 1 1 X X^2 1 X^2+X 0 1 X^2+X 1 X^2+X+1 X+1 X^2+X X^2 X X^2+X+1 X X 1 X 1 0 0 0 0 1 X+1 X^2+X+1 0 X+1 X^2+1 X^2+X 1 X^2 X^2+1 1 X^2 1 1 X X^2+X+1 X X^2+X X^2+1 X^2+X 1 X^2+X+1 X 1 X^2+X X^2+1 1 X^2 1 X+1 X^2 X^2+1 X X X^2+X X^2+X+1 X+1 1 X^2+X+1 X^2+X X+1 1 X^2 X^2+X X X^2+X+1 X^2+X+1 X^2+X+1 X^2+1 1 X^2+1 1 X^2+X+1 1 X^2+X X^2 X^2+1 X^2+X+1 X+1 X^2 X^2+1 X^2+1 X^2 1 0 X 1 1 X 1 X^2+X+1 X^2+X+1 X^2 X+1 X^2+1 X^2 X^2+X 1 1 X^2+X+1 X^2+X X^2 0 1 1 1 X 1 X^2+1 X^2+1 0 X^2+1 X 0 0 0 0 X^2 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 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 generates a code of length 96 over Z2[X]/(X^3) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+60x^90+202x^91+228x^92+208x^93+217x^94+210x^95+165x^96+140x^97+122x^98+72x^99+88x^100+68x^101+65x^102+54x^103+25x^104+24x^105+29x^106+30x^107+15x^108+8x^109+2x^110+8x^111+5x^112+1x^114+1x^116 The gray image is a linear code over GF(2) with n=384, k=11 and d=180. This code was found by Heurico 1.16 in 0.776 seconds.