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^2 1 X^2+X X^2+X 1 1 X 1 X^2 1 X^2+X 1 1 1 X^2+X 1 0 1 X^2+X 0 1 X 1 1 1 1 1 1 X^2+X X^2+X X^2 0 1 1 1 1 1 1 1 1 X^2+X 1 X^2 X^2 1 1 1 1 1 X 1 1 1 1 X^2 X 1 X^2 1 X 1 1 1 1 1 X^2 1 0 X 1 1 X 1 X^2 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^2+X+1 X X X^2 1 X^2 X^2 X^2+X+1 1 X+1 1 X^2 X X^2+1 X^2+X 1 1 X 1 X 1 X^2 X^2+1 1 0 X^2 X^2+X+1 X+1 X^2 1 1 0 1 1 X^2+X X^2+X 1 X X+1 X+1 0 0 1 X^2+X 1 X^2+X X^2+1 1 X^2+X X^2+X+1 X^2+X+1 1 X^2+X X 0 X^2+X X^2 X 0 1 X^2+X+1 1 0 X^2 0 X X^2+X 1 X^2+X+1 1 1 X^2+1 1 1 X^2+X+1 X 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 X 1 X^2+X+1 X+1 1 X^2+X X^2+X+1 X^2+1 X X X^2 1 X^2+1 X^2+X+1 0 0 0 X+1 X^2+X+1 X 1 X+1 X^2+1 X X^2+1 X X+1 X^2 X^2 X^2 1 X^2+X+1 X^2 X+1 X^2+X X^2 1 X^2+X X^2+1 X^2+1 X^2+1 X^2+1 X+1 X^2+X+1 1 0 X^2+X X+1 X^2 X^2 X^2+X+1 1 X^2+1 1 X 1 1 X^2+1 0 X^2+1 0 X^2+1 X+1 X^2+X+1 X^2+X+1 0 X 1 X^2+1 1 X^2+1 0 X+1 0 1 0 0 0 X^2 0 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 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 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 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 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 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+354x^88+386x^90+426x^92+372x^94+231x^96+82x^98+70x^100+32x^102+48x^104+24x^106+18x^108+2x^112+2x^116 The gray image is a linear code over GF(2) with n=372, k=11 and d=176. This code was found by Heurico 1.16 in 89.9 seconds.