The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+120x^19+594x^20+1824x^21+3917x^22+5746x^23+8219x^24+6152x^25+3778x^26+1614x^27+592x^28+152x^29+49x^30+6x^31+2x^32+2x^35

The gray image is a code over GF(2) with n=192, k=15 and d=76.
This code was found by Heurico 1.16 in 3.02 seconds.