The generator matrix

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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+122x^45+224x^46+414x^47+580x^48+682x^49+914x^50+1172x^51+1323x^52+1502x^53+1759x^54+1914x^55+2176x^56+2218x^57+2349x^58+2302x^59+2184x^60+2214x^61+1963x^62+1682x^63+1424x^64+1136x^65+750x^66+598x^67+403x^68+260x^69+205x^70+92x^71+90x^72+52x^73+25x^74+16x^75+10x^76+6x^77+1x^78+2x^79+1x^80+2x^82

The gray image is a code over GF(2) with n=116, k=15 and d=45.
This code was found by Heurico 1.10 in 53.7 seconds.