The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+55x^40+204x^41+290x^42+680x^43+437x^44+900x^45+432x^46+544x^47+252x^48+172x^49+40x^50+52x^51+23x^52+4x^53+6x^58+4x^59

The gray image is a code over GF(2) with n=360, k=12 and d=160.
This code was found by Heurico 1.16 in 0.203 seconds.