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 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 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 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 0 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 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 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 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 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 2 0 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 0 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 2 0 2 0 2 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 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 2 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 2 0 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 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 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 0 0 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 0 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 2 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 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 0 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+69x^42+158x^44+199x^46+259x^48+296x^50+313x^52+372x^54+1024x^55+383x^56+2048x^57+370x^58+1024x^59+365x^60+328x^62+320x^64+272x^66+179x^68+124x^70+61x^72+17x^74+9x^76+1x^110 The gray image is a code over GF(2) with n=114, k=13 and d=42. This code was found by Heurico 1.16 in 24.1 seconds.