The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+58x^41+142x^42+188x^43+172x^44+108x^45+86x^46+82x^47+36x^48+26x^49+43x^50+32x^51+30x^52+16x^53+2x^55+1x^56+1x^58

The gray image is a code over GF(2) with n=180, k=10 and d=82.
This code was found by Heurico 1.11 in 0.0407 seconds.