The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 1 1 0 1 1 1 1 0 1 0 1 X^2 1 1 X X^2+X 1 1 1 X^2 1 1 1 X^2+X 1 X 1 X^2 1 X^2 1 1 X^2 1 1 X 1 1 1 1 X^2+X 1 1 1 1 1 1 1 1 0 X^2+X 1 1 1 1 1 1 1 1 1 X 0 1 1 1 1 1 1 0 X 1 X^2 1 1 1 1 1 X^2 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+X X^2+1 X^2 1 1 X^2+X+1 X 1 X 1 X^2 1 X^2+1 1 X^2 X^2+X+1 1 1 X+1 X^2+X 0 1 0 X X^2+X+1 1 X^2+1 1 X^2+1 1 X^2+X+1 1 1 X^2 1 1 0 1 X+1 X X^2 X 1 X X^2+X+1 1 1 X^2+1 X+1 X^2+1 X+1 X 1 X^2+X+1 X^2+X+1 X+1 X^2+X 1 X^2+X+1 X^2+1 X^2+X+1 X^2+X X X 0 X^2+1 X^2 X^2+1 1 X^2+X 1 1 X^2 1 0 0 X^2+X+1 X X^2+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^2+X 0 X^2 0 X^2+X X^2 X 0 X X X^2 X^2+X X^2 X 0 X X^2 0 X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X X X^2+X X^2 X^2 X 0 0 X^2+X 0 X^2+X 0 X^2 X X^2 X^2 0 0 X X 0 0 X 0 X^2 X X^2 X^2+X 0 0 X^2 X^2+X 0 X X X^2+X X X^2 X^2 X X X X X X X X^2+X X 0 0 0 X^2+X X^2+X 0 0 0 X 0 X X X X X^2 X^2 X^2+X X^2 X^2+X X X^2+X X^2 X^2 X^2+X 0 X^2+X X^2 X^2 X^2+X X^2+X X^2 X X^2 X^2 X^2 0 X^2+X X^2 X^2 X^2 X^2 X^2+X X X^2 X X X^2+X X X^2+X X^2 X^2+X X X^2 X^2+X 0 X X 0 X^2+X X^2 X X^2+X X^2 X X^2 X X^2+X X 0 0 0 X 0 X X X X^2 X 0 0 X X^2+X X^2+X X X X X^2 X^2 X^2+X X^2+X X^2+X X^2 X X^2+X X X 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 generates a code of length 91 over Z2[X]/(X^3) who�s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+164x^85+147x^86+206x^87+110x^88+244x^89+164x^90+172x^91+122x^92+172x^93+96x^94+140x^95+75x^96+102x^97+27x^98+50x^99+10x^100+16x^101+6x^102+2x^103+2x^104+2x^105+4x^106+6x^107+4x^109+2x^110+1x^118+1x^130 The gray image is a linear code over GF(2) with n=364, k=11 and d=170. This code was found by Heurico 1.16 in 1.74 seconds.