The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 1 1 1 2 1 2 1 2 1 2 1 2 1 2 2 0 1 2 1 2 1 0 2 1 1 1 2 0 2 1 2 2 1 1 1 1 1 1 1 1 1 2 0 1 1 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 3 0 0 2 1 2 1 0 2 2 1 2 0 1 1 1 1 1 0 0 1 1 3 2 2 1 1 1 3 1 2 2 3 2 3 2 2 2 2 3 2 1 0 2 0 0 1 0 1 1 0 1 0 3 2 1 2 3 0 1 3 1 0 1 0 0 2 0 1 1 1 1 0 2 1 1 3 1 0 1 2 1 1 3 0 2 2 0 2 1 1 2 3 2 2 2 2 2 1 1 1 3 2 0 0 0 1 1 0 1 1 1 0 2 3 3 2 1 0 0 3 1 2 0 1 2 1 0 1 3 3 2 2 0 2 3 1 3 1 2 3 1 1 1 1 1 1 1 2 3 3 0 0 0 2 1 1 0 1 3 2 1 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 generates a code of length 59 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+226x^50+379x^52+466x^54+527x^56+517x^58+511x^60+453x^62+417x^64+293x^66+181x^68+80x^70+23x^72+11x^74+9x^76+1x^78+1x^82 The gray image is a code over GF(2) with n=118, k=12 and d=50. This code was found by Heurico 1.16 in 31.7 seconds.