The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^35+168x^36+248x^37+300x^38+370x^39+407x^40+464x^41+519x^42+570x^43+609x^44+616x^45+697x^46+614x^47+587x^48+502x^49+415x^50+356x^51+223x^52+198x^53+98x^54+64x^55+45x^56+18x^57+17x^58+4x^59+7x^60+2x^61+1x^62+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 7.44 seconds.