The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 2 0 2 1 1 1 1 2 0 1 1 1 1 1 0 0 0 1 1 1 2 0 1 0 1 2 1 2 2 1 1 1 1 0 1 0 2 2 0 1 1 2 1 2 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 3 1 1 1 0 2 0 2 0 3 1 1 3 0 3 0 2 0 1 1 2 2 0 1 2 0 1 0 1 3 0 1 2 0 3 1 0 3 1 1 2 1 0 3 1 3 1 2 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 0 3 2 3 1 1 3 3 0 0 1 0 1 1 3 1 2 1 3 0 0 2 0 0 1 3 2 1 3 2 1 1 0 2 3 1 1 0 2 0 1 3 1 3 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 generates a code of length 64 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+124x^52+232x^54+638x^56+648x^58+984x^60+890x^62+1168x^64+952x^66+981x^68+660x^70+530x^72+176x^74+138x^76+26x^78+29x^80+13x^84+2x^88 The gray image is a code over GF(2) with n=128, k=13 and d=52. This code was found by Heurico 1.16 in 10.3 seconds.