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 X 1 1 1 0 1 1 1 X 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 1 X X 1 X^2 1 X^2 0 0 1 X 1 0 X X 1 0 X 0 0 0 X X^2+X X X^2 0 X^2+X X^2 X^2+X X 0 X X X 0 X^2+X X X^2 0 0 X X^2+X X^2+X 0 X^2 X 0 X^2 X^2 X 0 X^2+X X 0 X^2 X X^2+X X^2+X X^2 0 X^2 X^2+X X X 0 X^2+X X^2 X^2 X^2+X X^2 X^2 X X X^2+X X^2 X^2+X X^2 0 0 X^2+X X^2 X 0 X X^2 0 X^2 X X X^2+X X^2 X^2 X X X^2+X X X^2+X X X X 0 X^2+X 0 X 0 X^2+X 0 0 0 X 0 X X X 0 X^2 0 X^2+X X 0 X^2 X X^2+X 0 X^2+X X^2 X 0 X^2 X X^2+X 0 X X^2 X^2 X X^2+X X^2+X X^2 X^2 X X^2+X X^2 X 0 0 X X^2 X^2 X^2+X X^2 X 0 X X X^2 0 X^2+X X X^2 X^2+X X^2 X X^2 X^2 X^2 X X X^2 X^2 0 0 0 X X^2+X 0 0 X^2 X X^2+X X X^2+X X^2 0 0 X X^2+X 0 0 X^2 0 0 X^2+X X^2+X 0 X 0 X^2+X 0 0 0 X X 0 X X^2+X 0 X^2+X X X^2 X^2 X X^2+X 0 X^2+X X 0 X^2 X^2 X X 0 0 X X X^2+X X^2+X X^2 X^2 0 0 0 0 X^2 X^2+X X^2 X^2+X X X^2+X 0 X^2+X X X^2+X 0 X^2 X^2 X^2+X X^2+X 0 X^2 X^2+X X^2+X 0 X^2+X X^2 X X^2+X X X^2 0 X X^2 0 X^2+X X^2 X^2+X 0 X^2 X^2+X 0 X^2+X 0 0 X^2+X X^2+X X X^2+X X^2 0 0 X^2 X^2+X X X^2+X X^2+X 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+244x^84+80x^86+435x^88+296x^90+418x^92+192x^94+215x^96+8x^98+116x^100+36x^104+6x^108+1x^152 The gray image is a linear code over GF(2) with n=364, k=11 and d=168. This code was found by Heurico 1.16 in 57 seconds.