The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^40+110x^42+109x^44+70x^46+52x^48+34x^50+25x^52+10x^54+13x^56+6x^60

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 0.036 seconds.