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 X^2 1 1 1 0 0 X 0 X^3+X^2+X X^3 X^2+X X^3 X^3+X 0 X^2+X X^3 X^3+X X^3 X^3+X^2+X 0 X 0 X^3+X^2+X X^3+X 0 0 X^3+X^2+X X^3 X^3+X X^3+X^2+X X^3 X^3 X^3+X 0 X^2+X 0 X^3+X X^3+X^2 X^3+X^2+X X^2 X^3+X X^2 X^3+X^2+X X^2 X X^3+X^2 X^2+X X^2 X X^2 X^3+X^2+X X^2 X^3+X X^3+X^2 X^3+X^2+X X^2+X X^3+X X^2 X^2 X^2 X X^2 X^2+X X^3+X^2 X^3+X^2 X X^3+X^2+X X^3+X X^3+X^2 X^2+X X^3+X^2+X X^3 X^3 X^3 X^3+X X^3 X^3 X^3+X^2+X X^3 X X^3+X^2+X X^2+X 0 X^2+X X^2+X X^3+X^2 X^2 0 X^2 X^3+X^2 X^3+X^2+X X X^3+X X^3+X^2 X^3+X^2 0 0 X 0 0 X^3+X^2 0 0 X^3+X^2 X^2 X^2 0 0 0 0 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^2 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^2 X^2 X^3 0 X^2 0 X^3+X^2 X^2 0 X^2 X^3 0 X^2 0 X^3+X^2 X^3+X^2 X^3 X^3+X^2 0 X^3 X^3+X^2 0 0 X^3 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^3 X^2 X^2 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 X^3+X^2 X^2 0 X^3 0 X^3+X^2 X^2 0 X^2 0 X^3 0 X^2 X^2 X^2 X^3 0 X^2 X^3 X^2 X^3 X^3+X^2 X^3 0 X^3 0 0 0 X^3+X^2 X^2 X^3+X^2 X^2 0 X^3 X^2 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3 X^2 0 X^2 X^3+X^2 X^3+X^2 0 X^3 X^3+X^2 0 X^2 0 X^3+X^2 X^2 X^3 X^3 0 0 X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3 X^2 X^2 X^3 X^3 0 X^3+X^2 X^3+X^2 0 X^3+X^2 X^2 0 0 X^2 0 X^3+X^2 0 X^2 X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3 X^3 X^3 X^2 X^3+X^2 0 0 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 0 X^3 X^2 X^3 0 X^3+X^2 X^3 X^3+X^2 0 X^3+X^2 X^3 generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+132x^89+82x^90+128x^91+502x^92+392x^93+489x^94+116x^95+63x^96+112x^97+12x^98+12x^99+2x^100+4x^101+1x^182 The gray image is a linear code over GF(2) with n=744, k=11 and d=356. This code was found by Heurico 1.16 in 24.1 seconds.