The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X  1  1  0  1  1 X+2  2  1  0  1  1  1  1  2  2  2  1  1  1  1  0 X+2  1 X+2  1  1  1  1  X  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1 X+1  1  X  2  1  X  X  1  3  3  2  1  1  1  1 X+2  0  2  1  1  X  1  1  0  3 X+2  3  1  0
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  X X+1 X+1  X  1  0  1  X X+3 X+2 X+1 X+3  1  3  0  X  3  2 X+1 X+2  1  1 X+2  1  3 X+2  0 X+1  1  0
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  0  0  0  0  2  2  2  0  0  0  0  2  2  0  2  0  2  2  0  2  2  2  0  2  2  2  0  0  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  2  2  0  2  2  2  0  2  0  2  2  0  0  0  2  0  2  0  2  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  0  0  2  2  0  0  0  2  2  2  0  2  2  0  0  2  2  0  2  0  0  2  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  2  0  2  2  2  0  2  2  0  2  0  2  2  2  2  0  2  2  2  0  0  0  0  2  2  0  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  0  0  0  2  2  0  2  2  2  0  0  2  0  2  0  2  2  2  2  0  2  0  2  0  2  2  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+51x^36+120x^37+237x^38+532x^39+579x^40+1176x^41+863x^42+2032x^43+1333x^44+2478x^45+1380x^46+2126x^47+907x^48+1214x^49+506x^50+390x^51+181x^52+130x^53+73x^54+38x^55+17x^56+2x^57+7x^58+2x^59+3x^60+6x^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 7.43 seconds.