The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 1 0 1 0 1 0 1 2 1 1 1 1 2 1 2 2 1 2 1 1 1 0 2 1 2 1 1 0 2 1 1 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 0 3 1 2 0 1 1 0 3 3 1 2 0 1 0 1 2 0 1 0 0 3 3 1 0 1 1 1 2 1 0 1 0 2 1 0 1 1 0 1 1 2 0 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 0 1 1 2 2 0 3 3 1 1 2 1 3 1 2 0 0 0 1 3 0 3 3 0 1 3 3 3 3 2 3 1 0 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 1 3 3 3 0 3 2 1 3 0 0 0 3 3 0 0 3 1 0 1 2 2 1 3 1 2 3 0 3 0 1 2 3 3 3 1 1 3 1 1 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+36x^46+68x^47+184x^48+214x^49+268x^50+300x^51+391x^52+374x^53+398x^54+520x^55+537x^56+578x^57+434x^58+556x^59+634x^60+520x^61+369x^62+424x^63+410x^64+294x^65+211x^66+152x^67+124x^68+66x^69+60x^70+28x^71+19x^72+2x^73+12x^74+2x^76+1x^78+1x^80+3x^82+1x^84 The gray image is a code over GF(2) with n=116, k=13 and d=46. This code was found by Heurico 1.16 in 8.43 seconds.