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

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+147x^36+339x^38+40x^39+605x^40+176x^41+861x^42+472x^43+1123x^44+672x^45+1131x^46+472x^47+906x^48+176x^49+576x^50+40x^51+263x^52+143x^54+23x^56+19x^58+3x^60+3x^62+1x^64

The gray image is a code over GF(2) with n=180, k=13 and d=72.
This code was found by Heurico 1.16 in 3.44 seconds.