The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1  1 X+2  1  1 X+2  1  0  1  2  1  1  X  1  1  1  1  1  1  1  1  1  1  1  0 X+2  1  1  1  1  0
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1  0 X+1  3  1 X+2  3  1 X+1  1  0  1  X  3  1  0  0 X+1  2  2 X+1 X+3 X+3 X+2  3  2  1  1  0 X+2 X+3 X+1  0
 0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  2  2  0  2  0  0  2  2  0  2  2  2  0  2  0  0  0  0  0  2  0  0  0  2  0
 0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  2  2  2  0  2  0  0  0  2  2  2  2  0  0  2  2  2  2  0  2  0  0  2  2  2  2  0  0  0  2
 0  0  0  0  2  0  0  0  2  0  2  0  2  0  0  2  0  0  2  2  0  2  0  0  0  0  2  2  2  2  0  2  2  2  0  2  0  2  2  0  0  2  0  2  0
 0  0  0  0  0  2  0  2  2  0  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  0  0  0  2  2  0  0  2  2  2  0  2  0  0  0  2  2  0  2  0
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  2  0  0  2  2  0  0  0  2  0  2  0  0  0  2  0  2  0

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+276x^40+304x^42+490x^44+352x^46+438x^48+112x^50+62x^52+10x^56+3x^64

The gray image is a code over GF(2) with n=180, k=11 and d=80.
This code was found by Heurico 1.16 in 34.2 seconds.