The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+88x^36+92x^38+351x^40+64x^41+408x^42+256x^43+645x^44+384x^45+528x^46+256x^47+501x^48+64x^49+232x^50+151x^52+20x^54+41x^56+11x^60+2x^64+1x^68

The gray image is a code over GF(2) with n=180, k=12 and d=72.
This code was found by Heurico 1.16 in 0.878 seconds.