The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+107x^18+790x^19+2590x^20+7070x^21+14753x^22+24942x^23+30132x^24+25582x^25+14857x^26+6922x^27+2366x^28+722x^29+199x^30+18x^31+15x^32+2x^33+4x^34

The gray image is a code over GF(2) with n=192, k=17 and d=72.
This code was found by Heurico 1.16 in 37.4 seconds.