The generator matrix 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 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 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 0 X 0 0 0 X X^2+X X^2+X 0 0 0 0 X^2+X X X X^2+X 0 0 X X^2+X 0 X X^2+X 0 0 X^2+X X^2 X X^2 X^2 X^2+X X X^2 X X^2+X 0 X 0 X^2 X X^2 0 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 0 X^2 X^2+X X X X^2 X^2+X 0 X^2+X X^2 X^2 X X^2+X X^2 X 0 X^2+X X^2 X^2 0 X^2 X X^2+X X^2 X^2+X X X^2+X X X^2+X X 0 X^2 X^2 0 X X X X^2 0 X^2+X 0 X^2+X 0 0 X 0 X X X X^2 X^2 X^2 X X X X 0 X^2 0 X^2 X X X 0 X^2 X X^2 X 0 X^2+X X^2+X X 0 X^2 X^2 X^2+X 0 X^2 X^2+X X X^2+X X^2 0 X^2+X X^2 X^2+X X X 0 X^2 X^2+X X^2 0 X X^2+X 0 X^2+X X^2 X^2 X^2+X X^2+X 0 X X^2+X X^2 X^2 X^2+X X 0 X^2 X X X^2+X X^2+X 0 X^2 X^2+X X^2 X^2 X X^2+X X 0 X^2 0 X^2 0 X^2 X 0 X X^2+X X^2+X 0 X^2+X X^2 0 0 0 X X 0 X X X X^2 X X^2 X^2 X X X^2 0 X 0 X X^2 X X^2 X^2+X X^2 X^2 X X X^2+X 0 0 X 0 X^2+X X^2 X^2+X 0 X^2+X 0 X^2+X X X^2 X^2 X 0 X^2+X X 0 X^2+X X^2+X X^2+X X^2 X X^2 X^2 X^2 0 X^2 X X^2+X 0 X X^2 X^2+X 0 X^2+X X^2+X 0 X^2+X X^2 X^2+X 0 X^2 X X^2+X X 0 X^2 X^2 X^2 0 0 X X^2+X 0 0 X^2+X 0 X X X^2+X X^2+X 0 X 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+48x^89+72x^90+80x^91+31x^92+560x^94+31x^96+80x^97+72x^98+48x^99+1x^188 The gray image is a linear code over GF(2) with n=376, k=10 and d=178. This code was found by Heurico 1.16 in 4.46 seconds.