The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  2  1  1  2  1  2  1  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  2  2  0  2  2  0  0  2  2  2  0  2  2  2  2  2  0  0  0  0
 0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  0  0  0  2  2  2  0  2  2  0  0  0  2  0  2  2  2  2  0  2  2  0
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  0  0  2  0  0  0  2  2  2  2  2  2  0  0
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  0  2  2  0  2  0  2  2  2  0  2  0  2  2  2  2
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  0  0  2  0  0  2  2  2  0  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  2  0  0  2  0  2  0  0  2  2  0  2  0  2  2  2  0  0  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  0  2  2  0  0  0  2  0  2  0  2  2  2  2  2  0  0  0  0  2  0  2  0  2  0

generates a code of length 45 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+129x^40+80x^42+160x^46+90x^48+16x^50+35x^56+1x^80

The gray image is a code over GF(2) with n=90, k=9 and d=40.
This code was found by Heurico 1.16 in 54.8 seconds.