The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 0 1 0 1 2 1 1 0 2 1 0 1 1 1 1 2 2 2 2 2 2 1 0 1 0 0 1 1 1 2 2 2 0 1 0 1 1 1 1 2 2 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 2 3 1 0 2 1 1 1 2 0 3 1 1 2 1 2 3 1 1 2 0 1 0 1 1 3 0 3 0 2 0 2 3 1 1 1 2 2 1 3 2 3 1 1 1 2 1 1 1 2 3 2 0 0 0 1 0 0 0 0 0 0 0 2 1 3 3 1 1 0 2 1 2 2 2 1 3 0 0 3 1 3 0 1 1 1 1 3 0 3 1 2 1 0 2 2 2 0 3 2 0 3 3 3 2 0 2 3 0 3 1 2 0 3 0 0 0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 2 1 3 2 1 1 1 2 2 3 0 1 1 1 0 0 3 0 1 1 3 2 3 1 0 1 2 2 0 3 2 0 2 1 2 0 1 2 0 2 1 0 1 2 3 2 1 2 3 0 0 0 0 1 0 1 3 2 3 0 0 0 0 1 1 1 1 0 0 2 1 3 2 1 3 0 2 1 2 3 0 1 0 2 1 1 3 0 2 0 2 2 3 1 0 2 1 2 3 2 1 2 1 1 0 3 0 2 0 1 0 3 1 0 0 0 0 0 1 2 1 3 3 1 3 2 3 1 0 0 1 3 3 0 1 0 0 3 3 2 3 1 2 1 2 1 3 3 0 3 2 3 3 0 1 2 0 2 3 1 1 3 3 2 2 1 3 0 0 0 1 3 1 0 3 1 0 generates a code of length 64 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+50x^54+108x^55+173x^56+216x^57+209x^58+264x^59+259x^60+262x^61+225x^62+254x^63+271x^64+206x^65+245x^66+216x^67+184x^68+176x^69+177x^70+128x^71+133x^72+136x^73+74x^74+48x^75+33x^76+26x^77+12x^78+6x^79+2x^80+2x^81 The gray image is a code over GF(2) with n=128, k=12 and d=54. This code was found by Heurico 1.10 in 0.797 seconds.