The generator matrix 1 0 0 0 0 0 0 1 1 1 2 0 2 0 1 1 1 1 1 1 1 1 2 2 1 1 1 0 0 0 1 1 2 1 0 1 1 1 0 0 2 0 1 2 1 2 1 2 1 1 1 1 0 2 1 0 1 0 0 0 0 0 0 0 0 1 1 1 2 1 2 3 1 2 0 3 3 2 1 3 3 1 0 1 1 2 3 1 0 0 2 1 1 0 2 2 0 2 1 3 0 2 1 2 2 3 0 1 0 0 0 0 1 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 1 1 3 1 1 3 3 1 1 1 1 1 1 3 1 1 1 2 2 1 1 2 1 3 0 0 0 1 0 0 0 0 0 0 0 0 2 0 2 1 3 1 3 3 1 0 1 2 3 0 1 1 3 1 1 1 3 0 2 0 1 2 3 2 3 0 3 1 1 1 1 2 2 0 0 3 3 1 1 0 0 0 0 1 0 0 0 1 1 1 2 1 1 2 0 3 3 3 3 0 1 3 3 3 2 2 0 1 0 3 1 1 0 3 1 3 0 2 2 0 3 3 1 2 3 2 0 2 3 3 0 1 2 0 0 0 0 0 0 1 0 1 0 1 3 2 3 1 1 1 3 2 1 3 0 1 0 0 2 3 0 3 2 1 2 1 1 2 2 0 0 3 0 0 3 1 3 3 1 1 0 1 1 1 1 3 3 0 3 0 0 0 0 0 0 1 1 3 2 1 1 2 0 1 0 3 2 0 1 3 2 3 0 3 0 2 2 3 2 1 1 2 0 2 2 0 0 1 3 0 0 1 3 2 1 1 1 1 3 2 0 0 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 2 0 0 2 2 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+127x^42+164x^43+350x^44+506x^45+717x^46+826x^47+1184x^48+1284x^49+1554x^50+1766x^51+1926x^52+2264x^53+2234x^54+2552x^55+2326x^56+2384x^57+2165x^58+2008x^59+1608x^60+1314x^61+1058x^62+738x^63+647x^64+380x^65+289x^66+126x^67+130x^68+60x^69+38x^70+12x^71+18x^72+8x^74+2x^76+1x^78+1x^82 The gray image is a code over GF(2) with n=110, k=15 and d=42. This code was found by Heurico 1.10 in 43.7 seconds.