The generator matrix

1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 0 1 1 1 1 1 1 1 1 1 0 1 1 1 2 0 1 1 1 0 0 1 2 1 1 2 0 2 0 2 0 2 1 2 1 0 1 1 1 0 2 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 1 3 1 1 1 1 3 3 1 2 1 2 3 1 2 0 3 1 0 2 2 1 1 1 1 1 1 1 2 1 0 2 2 2 0 0 1 0
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 2 0 3 2 1 1 2 1 0 1 3 0 1 2 2 2 3 0 2 3 3 1 0 2 1 2 2 3 2 3 0 2 1 1 1 0 2 1 1 3 0
0 0 0 1 0 0 0 0 1 1 2 1 2 0 2 2 2 0 1 1 0 0 3 3 2 1 1 0 1 2 1 0 3 3 3 1 2 2 1 1 2 0 3 0 1 0 0 0 0 1 2 1 0 1 3 2 3 2 0
0 0 0 0 1 0 0 0 1 2 1 3 3 2 1 0 3 1 1 2 2 1 2 3 0 3 3 2 2 0 2 3 1 3 1 1 1 1 0 0 1 1 3 0 2 2 2 3 0 0 1 2 1 0 3 0 3 3 0
0 0 0 0 0 1 0 1 0 1 3 1 3 2 3 1 0 2 0 3 1 2 0 3 1 1 2 1 0 0 1 2 3 0 0 1 1 2 2 0 0 2 1 3 2 2 2 1 3 3 1 2 1 3 1 3 3 1 0
0 0 0 0 0 0 1 1 3 2 0 3 1 3 2 1 3 2 0 3 0 1 3 2 0 3 1 0 2 1 2 0 1 3 1 0 3 2 0 0 0 3 1 3 1 0 2 1 0 1 1 0 0 2 0 1 0 3 0
0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2

generates a code of length 59 over Z4 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+36x^45+141x^46+276x^47+392x^48+520x^49+716x^50+916x^51+1072x^52+1304x^53+1479x^54+1754x^55+1955x^56+2214x^57+2373x^58+2270x^59+2401x^60+2250x^61+2048x^62+1800x^63+1650x^64+1458x^65+1064x^66+824x^67+568x^68+456x^69+314x^70+186x^71+127x^72+78x^73+55x^74+38x^75+23x^76+2x^77+1x^78+3x^80+2x^81+1x^86

The gray image is a code over GF(2) with n=118, k=15 and d=45.
This code was found by Heurico 1.10 in 47 seconds.