The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 2 1 0 1 1 2 1 1 0 0 1 2 1 1 2 1 1 0 2 1 1 1 0 2 1 1 1 2 0 1 0 1 1 1 0 1 2 1 0 0 1 1 0 0 2 1 1 1 0 1 0 0 1 1 1 0 2 3 3 1 1 0 2 1 1 2 0 3 1 1 3 0 2 1 2 1 2 0 1 1 3 1 1 3 2 0 1 1 1 0 2 2 1 1 1 3 2 1 1 3 2 0 0 1 1 3 1 2 1 2 2 3 0 0 1 1 1 0 1 0 3 3 2 0 3 1 1 2 3 2 1 2 3 0 2 0 1 3 2 1 1 1 2 1 0 2 3 3 3 2 1 1 0 2 2 1 0 1 3 0 3 2 0 3 1 2 1 0 2 2 1 1 0 0 3 1 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 generates a code of length 64 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+175x^56+236x^58+303x^60+246x^62+287x^64+216x^66+188x^68+132x^70+131x^72+60x^74+51x^76+6x^78+14x^80+2x^84 The gray image is a code over GF(2) with n=128, k=11 and d=56. This code was found by Heurico 1.16 in 6.89 seconds.