The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 1 0 1 2 1 1 1 0 1 1 0 1 1 0 0 1 1 1 2 1 1 2 1 0 0 1 1 1 2 0 1 1 1 2 0 0 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 3 0 1 0 3 1 3 1 0 3 1 1 2 3 1 0 1 1 1 0 2 3 1 0 3 1 0 1 1 1 1 2 1 1 3 0 2 1 1 1 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 generates a code of length 55 over Z4 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+77x^46+189x^48+203x^50+297x^52+294x^54+280x^56+268x^58+184x^60+149x^62+48x^64+23x^66+13x^68+8x^70+10x^72+2x^74+2x^76 The gray image is a code over GF(2) with n=110, k=11 and d=46. This code was found by Heurico 1.16 in 35.9 seconds.