The generator matrix

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

generates a code of length 47 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+47x^32+98x^33+224x^34+406x^35+627x^36+846x^37+1151x^38+1608x^39+1988x^40+2522x^41+3157x^42+3710x^43+4069x^44+4632x^45+4943x^46+4946x^47+5003x^48+4784x^49+4555x^50+3880x^51+3153x^52+2562x^53+1917x^54+1464x^55+1122x^56+790x^57+491x^58+338x^59+223x^60+136x^61+69x^62+30x^63+23x^64+14x^65+5x^66+2x^67

The gray image is a code over GF(2) with n=94, k=16 and d=32.
This code was found by Heurico 1.10 in 131 seconds.