The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 2 2 0 0 0 0 1 1 1 1 2 1 1 0 1 2 1 1 1 1 1 2 2 0 0 1 2 1 2 0 1 1 2 1 1 2 2 1 1 0 2 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 1 1 1 2 1 1 3 0 2 2 1 1 2 1 1 2 2 0 1 1 0 1 0 2 1 0 0 1 2 1 2 0 1 1 2 1 3 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 3 2 1 1 1 2 1 2 2 3 3 2 1 0 3 3 2 2 0 2 3 1 1 0 1 1 1 0 2 3 1 0 1 2 1 1 1 2 2 1 2 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 3 0 1 3 3 1 0 2 0 1 0 1 2 3 0 3 2 1 1 3 1 2 3 0 2 3 1 0 1 1 3 3 2 3 3 0 0 3 1 2 2 3 1 2 1 2 0 2 0 0 0 0 0 0 1 0 0 1 0 0 2 1 3 1 1 0 2 2 3 0 3 3 1 2 2 1 2 1 1 2 3 2 3 1 1 2 3 0 2 2 1 2 2 0 0 3 2 0 3 2 0 2 0 3 3 2 3 2 0 0 0 0 0 0 0 0 1 0 1 0 1 2 2 3 1 3 1 1 1 1 0 0 1 3 3 1 1 2 2 1 3 0 3 2 0 1 1 0 2 1 3 3 3 3 1 1 1 3 1 1 2 3 1 0 3 0 0 3 2 1 0 0 0 0 0 0 0 0 1 1 3 2 1 0 0 3 2 3 2 2 0 1 3 1 2 0 1 0 0 2 2 1 1 3 0 1 3 1 3 0 0 1 0 0 0 3 3 3 1 3 2 1 2 3 3 2 3 1 2 3 1 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 0 generates a code of length 61 over Z4 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+92x^46+403x^48+909x^50+1511x^52+2264x^54+3033x^56+3765x^58+4224x^60+4382x^62+4018x^64+3283x^66+2207x^68+1402x^70+699x^72+339x^74+146x^76+66x^78+14x^80+8x^82+2x^86 The gray image is a code over GF(2) with n=122, k=15 and d=46. This code was found by Heurico 1.10 in 57.9 seconds.