The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 0 0 1 2 1 1 1 0 1 1 2 0 1 1 2 2 1 2 1 0 2 1 1 1 1 1 2 1 2 1 2 0 2 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 3 1 2 0 0 2 1 1 0 1 0 0 2 1 3 2 3 0 2 3 1 0 2 2 1 3 0 1 0 2 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 2 1 0 0 2 1 0 3 0 1 3 2 1 0 0 1 1 1 1 1 2 2 3 1 0 3 1 3 1 1 3 1 1 0 3 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 0 3 3 3 2 1 0 2 2 1 3 2 2 3 0 3 1 1 2 0 3 0 0 3 2 3 3 0 1 3 1 2 1 1 2 1 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 3 0 3 1 1 3 2 1 0 3 3 1 2 2 3 3 1 1 2 0 1 3 3 2 0 2 3 3 2 2 2 2 0 2 3 3 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 2 0 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 47. Homogenous weight enumerator: w(x)=1x^0+68x^47+155x^48+212x^49+281x^50+312x^51+396x^52+422x^53+443x^54+504x^55+490x^56+530x^57+605x^58+538x^59+483x^60+530x^61+449x^62+430x^63+381x^64+270x^65+233x^66+166x^67+108x^68+80x^69+27x^70+30x^71+28x^72+4x^73+9x^74+5x^76+1x^78+1x^80 The gray image is a code over GF(2) with n=116, k=13 and d=47. This code was found by Heurico 1.16 in 8.54 seconds.