The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 2 1 1 0 0 1 1 2 1 0 0 0 1 0 1 1 1 2 0 1 2 0 2 1 1 1 0 1 0 2 2 1 0 2 2 1 0 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 2 0 3 1 0 3 1 1 1 1 0 1 0 1 0 3 1 0 1 2 1 2 1 0 3 1 0 2 1 1 1 2 1 1 1 1 0 2 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 1 0 2 3 1 3 3 3 2 0 1 0 1 3 3 3 0 1 1 0 2 1 0 2 3 0 1 3 2 2 1 2 0 1 3 2 1 3 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 2 0 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 generates a code of length 58 over Z4 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+54x^46+72x^47+148x^48+162x^49+265x^50+318x^51+361x^52+402x^53+439x^54+484x^55+514x^56+560x^57+545x^58+638x^59+539x^60+556x^61+461x^62+392x^63+340x^64+298x^65+211x^66+130x^67+116x^68+66x^69+49x^70+12x^71+20x^72+4x^73+19x^74+2x^75+7x^76+5x^78+1x^80+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 9.16 seconds.