The generator matrix

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

generates a code of length 46 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+52x^32+144x^33+308x^34+518x^35+850x^36+1152x^37+1341x^38+1954x^39+2367x^40+3036x^41+3840x^42+4294x^43+4914x^44+5132x^45+5292x^46+5220x^47+4988x^48+4498x^49+3930x^50+3314x^51+2514x^52+1944x^53+1345x^54+922x^55+587x^56+432x^57+296x^58+146x^59+98x^60+44x^61+30x^62+16x^63+13x^64+2x^65+2x^66

The gray image is a code over GF(2) with n=92, k=16 and d=32.
This code was found by Heurico 1.10 in 149 seconds.