The generator matrix

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

generates a code of length 21 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+68x^19+189x^20+112x^21+23x^22+52x^23+57x^24+8x^25+1x^26+1x^32

The gray image is a code over GF(2) with n=168, k=9 and d=76.
This code was found by Heurico 1.16 in 0.016 seconds.