The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+226x^17+711x^18+1714x^19+2383x^20+3746x^21+4457x^22+5850x^23+4831x^24+4182x^25+2363x^26+1430x^27+525x^28+230x^29+83x^30+30x^31+4x^32+2x^34

The gray image is a code over GF(2) with n=92, k=15 and d=34.
This code was found by Heurico 1.13 in 3.93 seconds.