The generator matrix

 1  0  0  0  0  1  1  1 X+2  1  1  1  X  1 X+2  0  1  1  1  2  1  1  X  1  0  2  0  X  1  1  0  1  0  0 X+2 X+2  1  1  0  1  2  X  1  1  1
 0  1  0  0  0  0  2  0  2  0  3 X+3  1 X+2  1  1  3  0 X+3  X X+1 X+3  1  X  2  1  1  1 X+1  2  X  X  1  2  X X+2  3  1  1  3  1  1 X+3 X+1  0
 0  0  1  0  0  0  0  2  2  1  1  0  1 X+1 X+1 X+3  3  1  X  1 X+2  3 X+1  1  1  0 X+2  0  X  X X+2  3  1  1  0  1 X+3 X+1  X X+1  3  1  3  X  0
 0  0  0  1  0  1  X X+1  1  1  2  0  0  X  3 X+3 X+3 X+3  3 X+1  2  2 X+2 X+2 X+3  3  1  2 X+1  3  1 X+1  3  1  1  2  X  2 X+1 X+3 X+1  0 X+3 X+1  0
 0  0  0  0  1  1 X+1  X X+1  2 X+2 X+1 X+1 X+1 X+2 X+1  3 X+3  X  3  2  1  X  2 X+2  0  3  3  1 X+3 X+1  3  1 X+3  2 X+3  2  1  1 X+2  1 X+2 X+2 X+2  0
 0  0  0  0  0  2  0  0  2  0  0  2  2  2  0  2  2  2  0  2  2  0  2  2  2  2  0  0  2  2  0  0  2  0  2  0  2  2  2  2  0  0  0  0  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+106x^36+506x^37+1105x^38+1796x^39+2781x^40+3604x^41+5343x^42+6064x^43+7518x^44+7464x^45+7551x^46+6590x^47+5638x^48+3748x^49+2557x^50+1434x^51+943x^52+430x^53+208x^54+78x^55+36x^56+24x^57+4x^58+6x^59+1x^60

The gray image is a code over GF(2) with n=180, k=16 and d=72.
This code was found by Heurico 1.13 in 37.5 seconds.