The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+193x^34+572x^36+1133x^38+1604x^40+2084x^42+2536x^44+2561x^46+2255x^48+1755x^50+1020x^52+407x^54+178x^56+54x^58+24x^60+3x^62+2x^64+2x^66

The gray image is a code over GF(2) with n=90, k=14 and d=34.
This code was found by Heurico 1.16 in 40.4 seconds.