The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  1  1 X+2  1  X  1  1  1 X+2  1  1  1 X+2  0  1  1  1 X+2  1  1  0 X+2  1  1  1  1  X  1  1 X+2  1  1  1
 0  1  1  0  1  1  2 X+1  1 X+2  1  1  1  2  1 X+1  1  2  3  2  1  3  0 X+2  1  1  3 X+1  3  1  X  2  1  1 X+1  1  0 X+2 X+2 X+1  3  1 X+3 X+3  0
 0  0  X  0  0  0  0  0  0  0  0  2  X X+2 X+2  X  X  X  X  X  X  2  X X+2  X  X X+2  2 X+2  X  X  2  0  0  X X+2 X+2  2  X  X  X  0  0  2  X
 0  0  0  X  0  0  0  0  X X+2 X+2 X+2  X  X  0 X+2  X  2  2 X+2  0 X+2  0  X  X  2 X+2  2  0 X+2  0  0  2 X+2  X  0  2  X  X  2  0  2  0 X+2  X
 0  0  0  0  X  0  2 X+2  0  2  0  X  2 X+2 X+2  2 X+2  X  0 X+2  X  X X+2 X+2 X+2  X  2  2 X+2  2  2 X+2  X X+2  X  X  0 X+2  0 X+2 X+2  X  0  2 X+2
 0  0  0  0  0  X X+2 X+2 X+2  X  2  X  X  2  0  0  2  X  X X+2 X+2 X+2  0  0 X+2  2  2  0 X+2  0  2  0 X+2  X X+2  2 X+2  X  X  2 X+2  X X+2  X X+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+80x^36+116x^37+268x^38+396x^39+598x^40+1004x^41+1217x^42+1500x^43+1975x^44+2126x^45+1877x^46+1664x^47+1251x^48+858x^49+570x^50+380x^51+240x^52+110x^53+94x^54+28x^55+14x^56+10x^57+5x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=180, k=14 and d=72.
This code was found by Heurico 1.16 in 8.94 seconds.