The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+88x^18+232x^19+404x^20+464x^21+610x^22+542x^23+585x^24+468x^25+396x^26+184x^27+70x^28+28x^29+18x^30+2x^31+4x^32

The gray image is a code over GF(2) with n=92, k=12 and d=36.
This code was found by Heurico 1.16 in 0.162 seconds.