The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+28x^33+92x^34+196x^35+408x^36+552x^37+800x^38+1060x^39+1477x^40+1850x^41+2524x^42+3172x^43+3567x^44+4294x^45+4711x^46+5036x^47+5398x^48+5222x^49+4838x^50+4578x^51+3774x^52+3208x^53+2506x^54+1864x^55+1521x^56+1050x^57+660x^58+436x^59+331x^60+170x^61+119x^62+40x^63+35x^64+10x^65+6x^66+2x^67

The gray image is a code over GF(2) with n=96, k=16 and d=33.
This code was found by Heurico 1.10 in 128 seconds.