The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  0  1  1  0  2  1  1  1  0  1  2  2  1 X+2  1  1 X+2  1  1  X  2  0  X  X  1  1  X  1  1  1  1  1  1  1  1
 0  1  0  0  3 X+1  1  0 X+3  2  1  3  2  1  1 X+1 X+2  X  1  1  2 X+2  X  1  1  2  1  X  0  X  1  1  1  1  2 X+1  X X+2 X+2 X+3  1  0  X X+2  2
 0  0  1  1  3  2  3  1 X+3  0  3  0 X+3 X+2  X X+2  1  2 X+1 X+3  1  1 X+1 X+1 X+1 X+1  1  2  X  1 X+3  2 X+2 X+3  3  1  1 X+1  X  0  1  0  X X+2  2
 0  0  0  X  X  0  X X+2  2  X  2 X+2  0 X+2  0  2 X+2  X  X X+2 X+2  0  2  2  0 X+2  0 X+2  2  X  2  X  0  X  2  0 X+2 X+2  0  2  0 X+2  X X+2 X+2

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+55x^40+188x^41+256x^42+276x^43+257x^44+214x^45+217x^46+154x^47+108x^48+114x^49+76x^50+58x^51+35x^52+10x^53+17x^54+6x^55+2x^57+2x^58+2x^59

The gray image is a code over GF(2) with n=180, k=11 and d=80.
This code was found by Heurico 1.16 in 0.136 seconds.