The generator matrix

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

generates a code of length 46 over Z4 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+32x^31+112x^32+202x^33+369x^34+578x^35+839x^36+1198x^37+1519x^38+2010x^39+2489x^40+3100x^41+3703x^42+4272x^43+4748x^44+4830x^45+5134x^46+5088x^47+4758x^48+4402x^49+3845x^50+3106x^51+2508x^52+2090x^53+1483x^54+1082x^55+797x^56+504x^57+293x^58+204x^59+120x^60+58x^61+32x^62+12x^63+11x^64+6x^66+1x^68

The gray image is a code over GF(2) with n=92, k=16 and d=31.
This code was found by Heurico 1.10 in 122 seconds.