The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 2 1 1 0 0 1 1 1 2 1 1 0 1 1 1 1 2 0 0 1 1 1 0 2 1 1 0 0 1 1 2 2 2 2 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 1 1 0 0 2 1 3 3 2 3 1 0 3 2 0 0 1 1 1 2 2 3 2 1 0 1 2 1 1 3 2 1 0 1 1 2 1 1 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 0 3 1 0 1 2 0 0 1 2 1 1 0 2 2 0 2 1 3 0 3 0 1 0 3 2 0 3 3 1 0 3 2 1 0 1 2 3 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 1 0 2 1 3 2 3 0 2 2 1 2 0 0 1 1 3 2 2 2 3 1 1 3 0 2 1 3 2 3 1 3 1 2 1 0 1 2 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 3 0 3 2 1 1 3 2 3 2 0 3 2 1 0 2 0 0 0 2 1 2 2 3 3 2 1 0 0 2 2 2 1 1 0 3 3 3 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 2 2 0 2 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+229x^58+492x^60+743x^62+835x^64+860x^66+954x^68+955x^70+956x^72+796x^74+636x^76+406x^78+197x^80+98x^82+22x^84+7x^86+2x^88+1x^94+1x^96+1x^106 The gray image is a code over GF(2) with n=138, k=13 and d=58. This code was found by Heurico 1.16 in 11.9 seconds.