The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 2 1 2 1 1 2 1 0 1 2 1 1 0 1 1 1 1 2 2 1 1 1 1 2 2 0 1 0 1 1 1 2 2 1 1 1 2 1 2 0 0 1 0 1 0 1 1 0 0 1 3 2 1 1 0 2 0 3 1 3 1 3 1 0 2 1 1 0 3 3 1 2 3 0 0 1 1 2 0 2 1 2 2 0 2 1 3 3 1 2 1 3 2 3 1 0 2 1 0 0 1 1 1 0 1 0 1 3 2 1 2 1 1 0 1 3 2 2 3 0 0 1 1 0 3 1 0 0 2 2 3 3 3 1 2 2 0 3 3 1 1 1 3 3 0 3 3 1 0 0 2 3 3 3 1 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 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 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 2 2 0 0 2 generates a code of length 58 over Z4 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+121x^48+228x^50+508x^52+400x^54+583x^56+496x^58+547x^60+456x^62+379x^64+172x^66+122x^68+40x^70+35x^72+7x^76+1x^80 The gray image is a code over GF(2) with n=116, k=12 and d=48. This code was found by Heurico 1.16 in 2.29 seconds.