The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+66x^34+62x^35+168x^36+178x^37+281x^38+316x^39+391x^40+492x^41+512x^42+620x^43+643x^44+708x^45+619x^46+680x^47+531x^48+504x^49+418x^50+326x^51+235x^52+154x^53+119x^54+44x^55+69x^56+12x^57+28x^58+9x^60+5x^62+1x^68

The gray image is a code over GF(2) with n=90, k=13 and d=34.
This code was found by Heurico 1.16 in 11.1 seconds.