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

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+44x^38+74x^39+125x^40+130x^41+167x^42+204x^43+197x^44+258x^45+195x^46+180x^47+132x^48+90x^49+84x^50+44x^51+47x^52+30x^53+16x^54+10x^55+10x^56+4x^57+5x^58+1x^62

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 0.227 seconds.