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 X^2 1 X^2+X 1 1 1 X^2+X 0 1 X 1 1 X^2 X^2 X 1 X 1 X 1 1 1 0 X^2+X X^2+X 1 1 1 X^2+X 1 1 X^2 X X 1 1 X^2 1 X^2 1 1 X^2 1 0 1 1 1 X^2 X^2 X^2 1 0 1 1 1 X^2+X X^2+X 1 1 X^2+X 1 X^2 1 0 X 1 X^2+X X^2+X 0 X^2 X^2 1 1 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2+X X^2+1 X^2 1 X^2+X+1 X+1 X^2+X X^2+X 1 X^2 X^2+X X^2+X+1 X^2 1 1 1 X X^2+X+1 1 X^2 1 X^2 1 X 1 X+1 X^2+1 X 0 1 1 1 1 0 0 X^2+1 X+1 1 1 X^2+X 0 X^2+1 1 X+1 X X X^2+1 1 X^2+X+1 1 X^2+X+1 X^2+1 0 1 1 1 X^2+X+1 1 X+1 X^2 1 X^2+X 1 X+1 X^2+X+1 X^2+X X 1 X^2 1 1 X^2+X 1 X 1 X 1 X+1 X^2+X+1 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 X^2+1 X^2+X X^2+X 1 1 X X+1 X^2+X X+1 X^2 1 1 X^2+1 X^2+X X^2+1 X^2+X X^2+X+1 1 X^2 0 X+1 X+1 X^2+X X^2+1 0 X^2+X+1 1 X^2+X X^2+X+1 X^2+X+1 X X+1 1 X^2+1 X^2+X+1 X^2+X+1 1 1 1 X 1 X+1 1 X^2 X X^2 0 1 1 0 X+1 X^2+X+1 X^2+X X 1 0 X^2+X+1 X^2+X X^2+X+1 1 X^2 X^2 X 1 1 X+1 X^2+X 0 X^2+1 X^2+X X^2 1 X 1 X^2+X+1 1 X^2+X+1 0 0 0 X^2 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 0 X^2 X^2 X^2 X^2 X^2 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 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 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 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+322x^86+482x^88+404x^90+303x^92+184x^94+127x^96+108x^98+39x^100+38x^102+38x^104+1x^108+1x^116 The gray image is a linear code over GF(2) with n=364, k=11 and d=172. This code was found by Heurico 1.16 in 0.672 seconds.