The generator matrix

 1  0  0  1  1  1  0  1  1  1 X+2  1  0  2  1  1  1 X+2  1  X  1  1  X X+2  X  1  0  1  2  1  1  2  2  X  1  1  X  2  1  1  X  X  1  1  2
 0  1  0  0  1  1  1  2 X+3 X+1  1  X  1 X+2 X+2 X+3 X+2  1  1 X+2  2  2  1  1  0 X+1  1  3  1  2 X+2  X  1  2 X+2 X+3  1  1 X+1  2  1 X+2  X  0  1
 0  0  1 X+1 X+3  0 X+1  X X+2 X+3 X+3  3 X+2  1  2  1 X+1  2  X  1  0  3 X+2  3  1  0 X+1  3 X+1 X+1  1  1 X+2  1  2  1 X+1  1  X  X X+1  1  0  1  1
 0  0  0  2  0  0  0  2  2  2  0  0  2  2  0  2  2  2  2  2  2  2  0  2  2  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  2  2  2  0
 0  0  0  0  2  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  2  2  2  0  0  0  2  2  0  0  0  0  2  0  2  2  2  0  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  2  0  0  2  2  2  2  2  2  0  2  0  2  0  0  2  0  2  0  2  0  2  0  0  2  0  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+413x^40+824x^42+1016x^44+704x^46+639x^48+312x^50+152x^52+16x^54+19x^56

The gray image is a code over GF(2) with n=180, k=12 and d=80.
This code was found by Heurico 1.16 in 80.6 seconds.