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  X  1  0  1  X  0  1  X  0  1  X  0  X  1  1  1  1  1  1  1
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  0 X+2  2  X  0  0  0  2 X+2 X+2  X X+2  2 X+2  2  X  2 X+2  X  0 X+2  X  X X+2  X X+2  0  2  0  2  X X+2  2
 0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  0  2  2  2  0  0  0  2  2  2  2  2  2  0  2  2  2  2  2  0  2  0  0  2  0
 0  0  0  2  0  0  0  0  0  0  0  2  0  2  0  2  2  2  2  2  0  2  0  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  2  0  2  0  2  0  0  2  2  2  2  2  2  0  0  0  2  2  0  0  0  2  0  2  2  2  2  0  0  2  2  2  2
 0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  2  0  2  0  2  2  2  0  0  0  0  0  2  2  2  0  2  2  0  0  0  2  2  0  2  2  0  2  2  2
 0  0  0  0  0  0  2  0  2  0  2  2  0  2  2  0  0  2  2  2  0  2  2  0  0  0  2  0  2  0  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2
 0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  0  0  2  0  2  2  0  2  0  0  0  0  0  2  0  2  2  2  0  2  0  2  2  2  0  2  2  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+78x^38+179x^40+32x^41+203x^42+128x^43+309x^44+192x^45+325x^46+128x^47+223x^48+32x^49+136x^50+48x^52+18x^54+4x^56+5x^58+3x^60+3x^62+1x^72

The gray image is a code over GF(2) with n=180, k=11 and d=76.
This code was found by Heurico 1.16 in 1.45 seconds.