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 X 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 X 1 1 1 1 X 1 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 0 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 0 2X 2X 0 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 2X 2X 2X 2X 2X 0 2X 0 0 0 0 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 0 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 0 0 2X 2X 0 0 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 2X 2X 0 0 0 0 0 0 2X 0 0 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 0 0 2X 0 0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 0 0 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 0 0 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 0 0 0 generates a code of length 71 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+43x^64+36x^66+52x^68+64x^69+307x^70+1152x^71+260x^72+64x^73+4x^74+4x^76+4x^78+16x^80+24x^82+8x^84+8x^86+1x^134 The gray image is a code over GF(2) with n=568, k=11 and d=256. This code was found by Heurico 1.16 in 0.375 seconds.