The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+17x^16+36x^18+64x^19+289x^20+64x^21+24x^22+6x^24+4x^26+6x^28+1x^36

The gray image is a code over GF(2) with n=160, k=9 and d=64.
This code was found by Heurico 1.16 in 3.62e-008 seconds.