The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 0 1 X^2+X 1 1 1 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 X X^2 X X^2 X X^2 X X^2 X X^2 X 0 0 1 X+1 X^2+X 1 1 X+1 0 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X 1 1 0 X+1 1 X^2+X X+1 1 X^2+1 1 0 X^2+X 1 1 X^2 X X^2 X X^2 X X^2 X X^2 X X^2 X X^2 X X^2 X X^2+X+1 X^2+1 X^2+X+1 1 X^2+X+1 X^2+1 X^2+X+1 1 X^2+X+1 X^2+1 X^2+X+1 X^2+1 X^2+X+1 1 X^2+X+1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 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 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 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 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 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 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+22x^90+16x^91+40x^92+352x^93+40x^94+16x^95+22x^96+2x^122+1x^128 The gray image is a linear code over GF(2) with n=372, k=9 and d=180. This code was found by Heurico 1.16 in 0.478 seconds.