The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+127x^46+166x^47+412x^48+542x^49+886x^50+992x^51+1499x^52+1670x^53+2195x^54+2602x^55+2976x^56+3506x^57+3725x^58+4412x^59+4565x^60+4798x^61+4343x^62+4464x^63+3802x^64+3716x^65+3270x^66+2754x^67+2287x^68+1666x^69+1421x^70+818x^71+702x^72+402x^73+345x^74+160x^75+119x^76+74x^77+66x^78+14x^79+19x^80+10x^81+6x^82+2x^83+2x^84

The gray image is a code over GF(2) with n=122, k=16 and d=46.
This code was found by Heurico 1.10 in 181 seconds.