The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  0  1 X+2  1  1  1  1  1 X+2  X  1  1  0  1  1  1  1  X  1  1  0  1  1 X+2  1  1  X  2  1  X  1  1  X  1
 0  1  1  0  1  1 X+1  2  1 X+1  0  1 X+3  1 X+2  1  3  X  X  1  1 X+3 X+1  1  X  X X+1 X+2  1 X+1  2  1 X+1  1  1 X+2  0  X  1  1  1  1 X+1  1  0
 0  0  X  0  0  0  0  X  X  X  X  X  X  X X+2  0  2  2  X  2 X+2  0 X+2  X X+2  0  2 X+2  0 X+2  2  0  2 X+2  2  2 X+2  X X+2  X  X  2  X  0  X
 0  0  0  X  0 X+2  X  X X+2  X  2  2  2  0  0  2  X X+2 X+2  2  X  0  X  2  X  0  2 X+2  X  X X+2 X+2  2 X+2  0  0  0  2 X+2  0  0 X+2  0  2  0
 0  0  0  0  X  0  X X+2 X+2  2  X X+2  0  X  X X+2  X  2  X  0  X X+2  2  X  X X+2  2  0  0 X+2  X X+2  0  X  X X+2  2  0 X+2 X+2  2  2  0  X  X
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  0  0  2  2  0  2  0  2  2  2  2  0  0  0  0  2  0  0  0  0  2  2  0
 0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  0  2  0  0  2  2  0  2  2  0  2  2  2  2  2  0  2  2  0  2  0  2  0  2  2  2  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+96x^36+8x^37+423x^38+196x^39+884x^40+696x^41+1520x^42+1356x^43+2250x^44+1616x^45+2212x^46+1372x^47+1483x^48+728x^49+830x^50+148x^51+370x^52+24x^53+117x^54+32x^56+18x^58+4x^60

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 9.11 seconds.