The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^33+108x^34+206x^35+323x^36+434x^37+542x^38+620x^39+821x^40+976x^41+1011x^42+1114x^43+1179x^44+1350x^45+1374x^46+1242x^47+1171x^48+994x^49+774x^50+636x^51+485x^52+384x^53+246x^54+130x^55+103x^56+62x^57+35x^58+20x^59+13x^60+6x^62

The gray image is a code over GF(2) with n=90, k=14 and d=33.
This code was found by Heurico 1.10 in 8.16 seconds.