The generator matrix 1 0 0 0 0 1 1 1 2 0 1 1 1 0 0 1 1 2 2 1 1 2 0 1 0 2 0 0 0 0 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 0 1 1 1 2 2 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 1 1 3 1 0 2 1 0 1 1 1 0 2 0 1 2 2 2 1 3 2 1 2 2 0 3 3 1 2 2 3 2 1 0 2 0 2 0 3 2 0 0 1 0 0 0 1 1 1 1 3 2 0 0 1 3 1 1 0 3 2 1 2 2 2 2 3 0 1 2 1 0 1 1 1 3 0 0 2 1 1 2 2 2 1 1 2 1 2 2 1 2 1 2 1 3 2 0 0 0 1 0 1 1 0 3 1 2 3 0 3 0 3 2 2 0 1 1 3 2 0 1 2 3 0 2 1 3 2 0 0 0 2 0 2 3 1 1 0 3 3 1 0 0 2 1 0 3 1 0 1 1 0 2 0 0 0 0 1 1 0 1 1 2 2 0 3 1 0 2 1 1 2 3 2 3 1 1 2 0 1 3 1 3 3 2 2 1 3 3 1 1 1 2 3 1 1 0 3 3 1 1 2 3 1 2 2 1 1 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 2 generates a code of length 57 over Z4 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+159x^48+428x^50+496x^52+569x^54+455x^56+508x^58+466x^60+416x^62+296x^64+174x^66+100x^68+15x^70+9x^72+2x^74+2x^76 The gray image is a code over GF(2) with n=114, k=12 and d=48. This code was found by Heurico 1.16 in 1.96 seconds.