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  X  X  2  1  X  X  1  X  2  X  1  0  X  2  0  1  X  1
 0  X  0  0  0  0  0  0  0  X X+2  X  2 X+2  2  X  X  X  0  X  2 X+2 X+2  X  X X+2  2  0  0  2  2  2 X+2  X X+2  X  2  X  2 X+2  0  X  0  X  0
 0  0  X  0  0  0  X X+2  X  X  X  0  0 X+2  2  2  2  2  X  0  2  0 X+2 X+2  X  X X+2 X+2  2  X  X X+2  X X+2  2  X  2 X+2  X X+2  X  2  0 X+2  X
 0  0  0  X  0  X  X  X  2  0  0  2  2 X+2  0  X  2 X+2  X  2  X  X X+2  2  X  X  X  0  X  0  2 X+2  0  2  X X+2 X+2  2  X  X  2  2  0 X+2  0
 0  0  0  0  X  X  2 X+2 X+2  0  X  X  0  0  X  X X+2  0  2  2 X+2  X  X  X X+2  2 X+2  0  0  X  X  0  X  2  X  2  0 X+2  X X+2 X+2 X+2 X+2 X+2  0
 0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  2  2  0  0  2  0  0  0  2  2  2  0  2  0  2  0  2  2  0  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 38.

Homogenous weight enumerator: w(x)=1x^0+173x^38+16x^39+374x^40+132x^41+440x^42+228x^43+622x^44+264x^45+558x^46+248x^47+388x^48+116x^49+284x^50+20x^51+122x^52+77x^54+28x^56+4x^58+1x^64

The gray image is a code over GF(2) with n=180, k=12 and d=76.
This code was found by Heurico 1.16 in 2.37 seconds.