The generator matrix 1 0 0 0 0 1 1 1 1 2 1 2 1 0 2 1 1 1 0 1 2 2 1 0 1 1 1 2 1 0 1 0 1 1 0 1 2 1 1 1 1 0 1 1 1 2 2 2 2 1 1 0 0 2 0 2 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 2 0 0 2 2 0 1 3 1 3 1 1 1 1 1 1 3 3 2 1 1 2 3 1 3 0 1 3 2 0 2 0 1 2 0 2 3 1 1 1 1 1 3 1 1 1 2 2 2 2 0 0 0 2 2 1 0 0 1 0 0 0 0 1 1 1 2 1 1 2 1 2 0 3 1 2 2 0 3 0 1 2 1 1 3 1 2 3 3 1 1 2 1 3 0 2 1 0 2 3 3 2 1 3 2 0 0 0 0 0 1 0 0 2 3 1 0 3 0 0 0 0 0 1 0 1 0 2 1 1 1 1 3 1 3 2 3 1 0 3 1 2 3 1 0 0 0 3 0 2 0 2 2 0 1 3 2 2 2 2 0 1 1 0 2 3 1 3 2 2 2 3 2 0 0 1 1 3 3 0 0 0 3 3 0 0 0 0 1 1 3 3 1 0 2 3 2 1 3 1 2 3 3 1 1 1 0 2 1 2 0 0 0 1 2 2 3 1 2 3 0 2 0 3 2 2 2 2 1 2 1 1 3 2 2 3 0 1 0 2 0 2 0 3 1 0 1 1 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 generates a code of length 64 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+152x^56+260x^58+317x^60+260x^62+274x^64+206x^66+160x^68+126x^70+140x^72+86x^74+43x^76+22x^78+1x^80 The gray image is a code over GF(2) with n=128, k=11 and d=56. This code was found by Heurico 1.10 in 0.219 seconds.