The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  2  1  1  1  X  1  1
 0  X  0  0  0  X  X  X  0  0  0  0  X  X  X  X  0  2 X+2  2  2  X X+2 X+2  2  0  X X+2  0 X+2  2  X  2 X+2  X  2  X  0  2  2 X+2  0  X  2 X+2
 0  0  X  0  X  X  X  0  0  0  X  X  X  0  X  0  2  0 X+2  X X+2  2  X  0  2 X+2 X+2  2 X+2  2  0  2 X+2  0 X+2  X  2  2  X  2  0 X+2  2 X+2  X
 0  0  0  X  X  0  X  X  2 X+2 X+2  2  2 X+2 X+2  2  2  X  0 X+2  2  2  X  X X+2 X+2 X+2  2  2 X+2  2  0 X+2 X+2  2  2  X X+2 X+2  2  0  X X+2  0 X+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+86x^42+24x^43+126x^44+80x^45+104x^46+24x^47+35x^48+18x^50+13x^52+1x^84

The gray image is a code over GF(2) with n=180, k=9 and d=84.
This code was found by Heurico 1.16 in 93.8 seconds.