The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+176x^38+305x^40+298x^42+327x^44+238x^46+254x^48+204x^50+147x^52+70x^54+16x^56+6x^58+6x^60

The gray image is a code over GF(2) with n=90, k=11 and d=38.
This code was found by Heurico 1.16 in 0.466 seconds.