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 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 X^2 X X X^2 X X^2 0 X X^2+X X^2 0 X^2+X X^2+X X^2+X X^2 0 X^2 X^2+X X^2+X X^2+X 0 X^2 0 X^2 X^2+X X X^2 X^2+X X^2 X X 0 X^2+X X^2 X^2+X X^2+X X X^2 X^2+X 0 0 X^2 X^2+X X^2 X X^2+X X^2 X^2+X 0 X^2 0 0 0 0 X^2 X^2 X X X^2 X^2 X X 0 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 0 X^2 X^2+X X X^2+X X^2+X 0 X^2 X X^2+X X^2 X^2 X^2+X 0 X^2+X X^2 0 X^2+X X X X^2 X^2+X 0 0 X^2+X X 0 X^2+X 0 0 X X^2 X^2+X X^2 X^2 X^2 X^2+X X X^2+X X^2 X^2+X X^2+X X X^2 X 0 X^2 X^2+X X X X^2 X^2 0 X^2+X X^2+X 0 X^2+X 0 X^2 0 X^2 X^2+X X X X^2+X X^2+X X 0 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 0 X^2+X 0 X^2 X X^2+X X^2 X^2 0 0 X^2+X X X^2+X X^2+X 0 0 X 0 X^2+X X^2+X 0 X X X^2+X X^2+X X X^2 X^2 X^2 X^2 X^2+X X X^2 X^2+X 0 X^2+X 0 0 X^2+X 0 X^2+X X^2+X X 0 X^2 X X^2 X X^2+X 0 X^2 0 0 X^2+X X^2+X X X^2 0 X^2+X X X^2+X X 0 X^2 X X^2+X 0 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 X^2 X^2 X^2 X^2 0 0 0 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 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+60x^88+96x^89+51x^90+16x^92+576x^93+16x^94+51x^96+96x^97+60x^98+1x^186 The gray image is a linear code over GF(2) with n=372, k=10 and d=176. This code was found by Heurico 1.16 in 0.724 seconds.