The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 2 2 1 0 1 1 2 2 2 1 1 1 2 1 2 0 1 1 1 0 2 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 3 1 1 0 2 1 0 3 3 0 1 3 2 1 1 1 0 1 3 2 1 1 1 1 1 2 1 3 0 1 0 2 0 1 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 2 0 0 0 2 0 2 0 2 generates a code of length 53 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+70x^42+162x^44+284x^46+423x^48+524x^50+628x^52+597x^54+501x^56+411x^58+250x^60+118x^62+64x^64+34x^66+16x^68+9x^70+3x^72+1x^74 The gray image is a code over GF(2) with n=106, k=12 and d=42. This code was found by Heurico 1.16 in 30.7 seconds.