The generator matrix

 1  0  1  1  1  0  1  1  0  1  2  1  1  1  X  X  1  1 X+2  1  1  1  1 X+2  1  1  X  2  1  1  1  1  1 X+2  0  1  X  0  0  1  0  X  X  1  X
 0  1  1  0 X+1  1 X+3  0  1  3  1  2 X+3 X+2  1  1  1 X+2  1 X+3  X  3  0  1  3 X+2  1  1  X X+1  1  X  X  1  1 X+3  1  2  2 X+3  1  1  1 X+3  0
 0  0  X  0  0  0  0  X  X X+2  X  X  2  X X+2  0  0  2  X X+2  X  2  2  0  X  X  0 X+2  0 X+2  0  X  X  2  X X+2 X+2  X  2 X+2  0  2  X X+2  2
 0  0  0  X  0 X+2 X+2  X  X  X  0  2  2 X+2  2 X+2  X  0  X  2  2  2  2  2  0  X  0  0 X+2 X+2  X  0  2  0 X+2  X  0  X  X  0 X+2  0  X  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  2  2  2  2  0  2  2  2  2  0  0  2  2  2  2  2  2  0  0  2  0  2  0  2  0  2  2  2  2  0
 0  0  0  0  0  2  0  0  0  2  2  0  2  0  0  2  2  2  2  0  0  2  0  0  2  2  2  0  2  2  2  0  2  0  0  0  2  0  0  2  2  0  0  2  0
 0  0  0  0  0  0  2  0  2  0  2  0  2  0  2  2  0  2  2  2  2  2  0  0  2  0  0  2  2  2  0  0  2  0  2  2  0  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  0  0  2  2  2  2  0  0  2  0  0  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 36.

Homogenous weight enumerator: w(x)=1x^0+136x^36+36x^37+403x^38+196x^39+880x^40+692x^41+1639x^42+1332x^43+2056x^44+1612x^45+2126x^46+1356x^47+1649x^48+700x^49+819x^50+188x^51+340x^52+32x^53+119x^54+54x^56+13x^58+4x^60+1x^66

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 8.77 seconds.