The generator matrix 1 0 1 1 1 X 1 1 X^2 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X 1 1 X^2 1 1 0 1 1 X 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X X X X^2 0 1 1 1 1 X 0 X X^2 X 1 1 1 1 1 1 1 1 1 1 X 0 X X^2 X X^2 X 0 X^2 X X^2 X 0 X^2+X 0 X^2+X 1 1 1 1 X 0 1 0 1 1 X^2 X+1 1 X X^2+1 1 0 1 1 X^2+X X^2+X+1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 X^2 X^2+X+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X^2+X+1 1 X 1 1 X 1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X X 0 X 0 X^2 X^2+X X^2+X X X^2 0 0 X+1 X^2+1 X+1 X^2+1 X^2+X X^2+X X^2+X+1 1 X^2+X+1 1 0 X^2 X X 0 X^2 X^2+X X 1 1 1 1 1 1 1 1 0 X X^2 X X^2+X X 0 0 0 X X^2+X X^2 X^2+X X 0 X X^2 X^2+X X^2 0 X 0 X^2 X^2+X X^2 X 0 X^2+X X^2+X X^2 X X^2 X^2 X^2 X^2+X X^2+X X X^2+X X^2+X 0 0 0 X^2+X X^2 X^2 X^2+X 0 0 X X X 0 X X X^2 X X X X X X^2 0 X^2+X X^2+X X X^2+X X X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2+X X X^2+X X^2+X X X X X^2+X X X X^2+X X^2+X X^2+X X^2+X X X 0 X^2 X^2 0 0 0 0 generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+18x^92+96x^93+18x^94+96x^95+11x^96+11x^98+2x^100+2x^102+1x^130 The gray image is a linear code over GF(2) with n=376, k=8 and d=184. This code was found by Heurico 1.16 in 0.48 seconds.