The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  0  1 X+2  2  1  1  X  1 X+2  1  1 X+2  2  1  1 X+2  1  1  0  1  1  1  2  0  0  0  1  X  1  2  1  X X+2  1
 0  1  0  0  1 X+1  1  0  0  2 X+3  1  3  1  2 X+1 X+1  1  X  1 X+2 X+3  1  1  X  1  2  X  1  1  0  X  1  X  1  X  X  2  1  3  X  1  0  1  X
 0  0  1  1  1  2  3  1 X+3  X  3 X+1 X+2  X  1  2 X+1 X+2 X+1 X+3  3 X+3  X X+3  0 X+2  1  X  3  3  2  2 X+3  1  X  1  1  2  3  0  1  3  1  3  1
 0  0  0  X X+2  0 X+2  X  X  0  X X+2  2  2  X X+2  2 X+2  2  0  0 X+2 X+2  0 X+2  X  2  0  2  X  2  2  2  0  2 X+2  0  X X+2  0 X+2  X  0  0  0
 0  0  0  0  2  0  2  2  2  2  0  0  2  2  2  0  0  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  0  0  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 40.

Homogenous weight enumerator: w(x)=1x^0+487x^40+692x^42+1018x^44+756x^46+685x^48+268x^50+158x^52+12x^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 74.4 seconds.