The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^16+74x^17+239x^18+378x^19+613x^20+380x^21+199x^22+52x^23+45x^24+10x^25+9x^26+2x^27+3x^28+1x^30

The gray image is a code over GF(2) with n=160, k=11 and d=64.
This code was found by Heurico 1.16 in 0.015 seconds.