The generator matrix

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

generates a code of length 60 over Z4 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+56x^45+172x^46+340x^47+512x^48+788x^49+1059x^50+1404x^51+1738x^52+2056x^53+2509x^54+3060x^55+3636x^56+3870x^57+4326x^58+4562x^59+4598x^60+4686x^61+4495x^62+4358x^63+3817x^64+3156x^65+2673x^66+2196x^67+1650x^68+1202x^69+953x^70+596x^71+377x^72+282x^73+168x^74+110x^75+54x^76+30x^77+21x^78+14x^79+6x^82+2x^85+2x^86+1x^88

The gray image is a code over GF(2) with n=120, k=16 and d=45.
This code was found by Heurico 1.10 in 177 seconds.