The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+34x^31+148x^32+304x^33+497x^34+772x^35+1025x^36+1468x^37+1886x^38+2408x^39+3097x^40+3690x^41+4436x^42+4850x^43+5245x^44+5486x^45+5245x^46+5066x^47+4587x^48+3792x^49+3114x^50+2476x^51+1979x^52+1396x^53+884x^54+696x^55+375x^56+230x^57+184x^58+78x^59+55x^60+18x^61+9x^62+4x^63+1x^66

The gray image is a code over GF(2) with n=90, k=16 and d=31.
This code was found by Heurico 1.10 in 138 seconds.