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 X X X X X X X X X X X X X X X X 1 1 1 1 1 1 X X X X X X X 1 1 1 1 1 1 X 1 X 1 X 1 X X X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 0 0 0 0 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 0 X^3 X^3 0 0 X^3 0 0 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 0 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 0 0 0 X^3 generates a code of length 91 over Z2[X]/(X^4) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+30x^89+23x^90+416x^91+24x^92+8x^94+7x^96+2x^121+1x^122 The gray image is a linear code over GF(2) with n=728, k=9 and d=356. This code was found by Heurico 1.16 in 2.61 seconds.