The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 2 2 1 2 1 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 2 generates a code of length 59 over Z4 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+66x^46+163x^48+157x^50+117x^52+330x^54+530x^56+639x^58+775x^60+536x^62+271x^64+187x^66+115x^68+90x^70+57x^72+41x^74+17x^76+2x^78+1x^80+1x^104 The gray image is a code over GF(2) with n=118, k=12 and d=46. This code was found by Heurico 1.16 in 18 seconds.