The generator matrix

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

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+201x^18+192x^19+251x^20+192x^21+176x^22+3x^24+6x^26+1x^28+1x^34

The gray image is a code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.16 in 1.11 seconds.