The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 0 1 1 0 0 2 1 0 0 1 1 1 2 1 0 0 2 2 2 2 2 1 1 1 2 1 2 1 1 1 1 1 1 1 1 0 1 2 1 1 2 2 0 0 0 1 0 0 2 1 2 2 0 1 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 0 1 1 2 1 2 1 3 0 0 0 0 1 1 2 3 0 1 2 1 2 2 2 0 0 0 1 1 2 1 3 0 3 3 1 1 0 2 1 3 1 1 1 1 2 1 0 0 1 0 0 0 1 1 1 1 3 2 1 0 2 1 3 2 3 3 3 1 2 0 2 0 2 1 1 1 2 2 1 3 2 0 0 0 1 0 2 0 0 0 0 2 2 0 0 0 3 1 0 0 1 1 0 2 0 1 1 0 1 2 0 0 0 1 0 1 1 0 1 0 1 3 2 1 0 1 2 1 2 0 1 3 3 0 1 0 1 1 3 0 3 2 1 2 3 1 0 1 2 3 0 0 0 3 3 3 0 2 2 1 2 3 0 3 2 3 3 2 3 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 3 2 0 1 0 1 3 0 0 3 1 3 3 2 0 1 3 2 2 0 2 0 3 0 0 1 3 3 3 1 2 2 3 1 2 2 0 0 3 0 3 1 3 3 1 2 2 1 3 0 2 0 3 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 generates a code of length 64 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+283x^52+606x^54+1079x^56+1414x^58+1742x^60+1952x^62+2155x^64+2010x^66+1892x^68+1410x^70+1000x^72+478x^74+257x^76+64x^78+36x^80+2x^82+1x^84+1x^88+1x^108 The gray image is a code over GF(2) with n=128, k=14 and d=52. This code was found by Heurico 1.16 in 79.5 seconds.