The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^19+578x^20+1800x^21+3973x^22+5874x^23+8091x^24+5976x^25+3922x^26+1678x^27+544x^28+160x^29+41x^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 2.78 seconds.