The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+53x^36+126x^37+157x^38+252x^39+237x^40+214x^41+300x^42+298x^43+298x^44+290x^45+306x^46+290x^47+275x^48+234x^49+188x^50+206x^51+129x^52+88x^53+65x^54+42x^55+31x^56+8x^57+8x^58

The gray image is a code over GF(2) with n=90, k=12 and d=36.
This code was found by Heurico 1.10 in 0.5 seconds.