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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+76x^35+149x^36+230x^37+318x^38+358x^39+428x^40+484x^41+528x^42+606x^43+612x^44+594x^45+655x^46+610x^47+554x^48+510x^49+408x^50+334x^51+271x^52+192x^53+127x^54+64x^55+29x^56+38x^57+11x^58+3x^60+1x^66+1x^68

The gray image is a code over GF(2) with n=90, k=13 and d=35.
This code was found by Heurico 1.16 in 5.8 seconds.