The generator matrix

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

generates a code of length 20 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+78x^18+162x^19+135x^20+12x^21+64x^22+50x^23+8x^24+1x^26+1x^30

The gray image is a code over GF(2) with n=160, k=9 and d=72.
This code was found by Heurico 1.16 in -3.24e-008 seconds.