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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X+2 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 2X 0 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 0 0 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 2X 0 0 0 0 2X 0 0 2X 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 0 2X 0 0 0 0 0 0 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 2X 0 0 2X 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 2X 0 0 0 0 0 0 0 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 0 2X 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 0 0 2X 2X 2X 0 2X 2X 0 0 0 0 generates a code of length 72 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+67x^64+32x^68+60x^70+384x^71+1024x^72+384x^73+31x^74+28x^80+36x^86+1x^138 The gray image is a code over GF(2) with n=576, k=11 and d=256. This code was found by Heurico 1.16 in 0.391 seconds.