The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+X 1 1 0 1 1 X^2 1 1 X 1 1 X 1 1 X^2 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 0 1 1 1 1 X^2 X 1 1 1 1 X^2 X X X 0 X X X^2 1 1 1 1 0 X^2+X 1 1 1 1 X^2 X X X 0 X X X^2 1 1 0 1 1 X^2 1 1 1 1 X^2+X X 1 1 1 1 1 1 1 0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X^2+X+1 1 X 1 1 X^2 X^2+X+1 1 X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X X^2+X+1 1 1 1 X^2 X X^2+X+1 1 1 1 0 X^2+X X X^2 X X 0 X^2+X X+1 X^2+1 1 1 X^2 X X^2+X+1 1 1 1 0 X^2+X X X^2 X X 0 X+1 1 X^2 X^2+X+1 1 X^2+X X X^2+1 1 1 1 0 0 X^2 X^2 X^2+X X^2+X X 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+12x^90+88x^91+12x^92+2x^94+8x^95+3x^96+2x^110 The gray image is a linear code over GF(2) with n=364, k=7 and d=180. This code was found by Heurico 1.16 in 0.418 seconds.