The generator matrix

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

generates a code of length 45 over Z4[X]/(X^3+2,2X) 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 0.187 seconds.