The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X^2 0 1 1 1 1 X 1 1 X 1 1 X^2 X 0 1 1 1 1 X^2+X 1 1 1 1 X 0 X 1 1 1 1 1 X^2 1 1 X^2+X 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 0 X^2+X X^2 X^2+X 0 X X^2 X^2+X X 0 1 1 0 X^2+X+1 1 X X+1 1 X^2+X X^2+1 1 1 0 X+1 0 1 1 X^2+1 X 1 X^2+X X^2+X+1 1 1 1 0 X+1 X^2+X+1 0 1 X^2+1 X^2+X X 1 1 1 1 0 X^2+X+1 0 X^2+1 X+1 1 X^2+X X 1 X^2+1 0 X^2 X^2 X^2 X^2 X^2+X X X^2+X X X^2 X^2 X^2+X X X^2 X^2 X^2+X X 1 1 1 X^2+X+1 X+1 X^2+X+1 X+1 1 X^2+1 X^2+X+1 1 X+1 X^2+1 X^2+X+1 X+1 X^2+1 1 1 1 1 1 1 1 1 1 1 0 0 0 X X^2+X X X^2 X^2+X 0 X 0 0 X^2+X X^2 X^2 X^2 X X^2+X X X^2 X 0 X^2 X^2+X X X^2+X 0 0 X^2 X X^2+X X^2 0 X^2 X X^2+X X X^2 X^2+X X^2 X^2+X X X^2 0 X^2+X 0 X^2+X 0 X X X^2 X 0 X^2+X X^2+X X^2 X 0 X^2 X X^2+X X^2 0 X^2+X X 0 X^2 0 0 X^2 X^2+X 0 X X X^2+X X^2 X^2 X^2+X X^2+X 0 X X 0 X^2 X^2+X X^2+X X^2 X X^2+X X^2 0 X^2+X X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+104x^90+64x^91+186x^92+64x^93+72x^94+18x^96+2x^116+1x^128 The gray image is a linear code over GF(2) with n=368, k=9 and d=180. This code was found by Heurico 1.16 in 74.5 seconds.