The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2X+2) 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 1.05e-007 seconds.