The generator matrix

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

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+118x^41+130x^42+168x^43+80x^44+140x^45+90x^46+104x^47+25x^48+58x^49+46x^50+40x^51+4x^52+4x^53+2x^54+4x^55+2x^56+4x^58+4x^59

The gray image is a code over GF(2) with n=180, k=10 and d=82.
This code was found by Heurico 1.16 in 12.1 seconds.