The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+92x^33+241x^34+396x^35+538x^36+754x^37+1011x^38+1248x^39+1539x^40+1862x^41+2199x^42+2364x^43+2523x^44+2730x^45+2788x^46+2594x^47+2229x^48+1984x^49+1719x^50+1276x^51+896x^52+654x^53+427x^54+268x^55+189x^56+110x^57+57x^58+44x^59+19x^60+6x^61+6x^62+2x^63+2x^64

The gray image is a code over GF(2) with n=90, k=15 and d=33.
This code was found by Heurico 1.10 in 32 seconds.