The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 2 1 2 0 1 0 1 0 1 1 0 1 2 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 2 2 1 0 2 2 0 1 1 2 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 3 2 1 1 2 0 0 1 1 3 1 0 2 1 2 1 1 2 1 2 2 3 0 0 1 1 2 1 1 3 1 3 2 3 0 3 3 1 1 3 0 1 2 2 2 1 1 3 0 0 0 1 0 3 0 0 1 1 1 0 1 0 1 3 0 2 0 3 1 3 1 1 2 0 3 1 2 3 1 0 3 3 3 3 1 0 0 0 2 0 1 0 1 3 1 1 3 0 2 3 1 1 3 0 1 2 1 1 3 3 2 0 2 1 1 0 3 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 generates a code of length 64 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+158x^54+293x^56+393x^58+499x^60+490x^62+515x^64+499x^66+456x^68+340x^70+221x^72+127x^74+51x^76+34x^78+10x^80+5x^82+2x^84+2x^86 The gray image is a code over GF(2) with n=128, k=12 and d=54. This code was found by Heurico 1.16 in 87.1 seconds.