The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+305x^42+323x^44+166x^46+84x^48+93x^50+38x^52+12x^54+1x^56+1x^60

The gray image is a code over GF(2) with n=180, k=10 and d=84.
This code was found by Heurico 1.16 in 35.1 seconds.