The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 X 1 1 1 X 1 X^2 1 1 X 1 X 1 1 1 1 1 1 X^2 X X 1 1 0 0 0 1 X X X 1 X X 0 X 0 0 0 X^2 0 X^2 0 X^2+X X X^2+X X X X X 0 0 X^2 X^2 X^2+X X X^2+X X X^2 X X^2+X X^2+X 0 X^2 X X^2 X^2 0 0 X X X^2 X^2 0 X^2+X X X X 0 X^2+X 0 X X^2+X X^2 0 X^2+X 0 X^2 X^2 X^2+X X^2+X 0 X^2+X X X X^2+X X^2 0 X^2 0 X X^2+X X X^2 X^2+X 0 X^2 X^2 X^2+X X^2+X X^2 0 X X^2 0 0 0 X X^2 X X^2+X 0 0 0 X^2 X^2+X X^2 0 0 X 0 0 X^2 X X X^2+X X X X^2 X X^2+X X^2 X^2 0 X^2 X X X^2+X X^2+X 0 X^2 0 X 0 0 X X^2+X X^2+X 0 0 X X^2+X X X^2 X^2+X X 0 X X^2 X^2+X 0 0 0 X^2 X^2+X X^2+X X^2 0 0 X^2 X X^2 X^2 X^2 0 X^2+X 0 X^2 X X X 0 X^2 X^2 X 0 X X^2+X X^2+X 0 X^2+X 0 X X^2+X 0 X X^2 X^2 0 X^2+X X X^2 X^2+X X^2 X^2+X X^2+X X^2 X X^2+X X^2 0 0 0 X 0 X X X^2+X X^2 X^2 X^2 X^2 X X X^2+X X 0 X^2+X X 0 X^2 X^2+X X^2+X 0 X^2+X X^2+X X^2 X X^2+X X^2 X^2 X^2 X^2 0 X^2 X X X^2+X X X^2+X X^2 0 X^2+X X^2 X^2+X X^2+X X^2 0 X^2+X X^2+X X X 0 X^2+X 0 0 0 X X X X 0 0 X X^2+X X^2+X X^2+X X^2+X X^2 0 X^2+X X^2 0 X^2 X^2+X X^2+X X X^2 X^2 X^2 X X^2 X^2+X X X X^2+X 0 X^2 X^2+X X^2+X X 0 X 0 0 0 0 X X X^2 X X^2+X X^2+X X^2 X^2+X X 0 0 X^2+X X^2 X X X^2 X^2 X^2+X X 0 X^2 0 X 0 0 X^2+X X X^2+X 0 X X^2 X^2+X X X X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2 X^2+X X 0 0 0 X^2 X X^2+X X^2+X 0 X^2+X X^2+X 0 X 0 0 X^2+X X^2+X X X^2 X^2+X 0 X^2 X^2 X^2+X 0 X^2+X X^2 X^2+X X X^2 X^2 0 X X^2 X X 0 X^2+X X X X^2+X X^2 X^2+X 0 X^2+X X^2+X generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+46x^85+78x^86+92x^87+151x^88+122x^89+135x^90+200x^91+178x^92+188x^93+177x^94+160x^95+132x^96+86x^97+65x^98+46x^99+30x^100+38x^101+45x^102+18x^103+14x^104+12x^105+8x^106+10x^107+6x^108+4x^109+1x^110+2x^111+2x^114+1x^150 The gray image is a linear code over GF(2) with n=372, k=11 and d=170. This code was found by Heurico 1.16 in 0.891 seconds.