The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  1  X  1  2  1  1  X  1  1  1  1
 0  1  0  0  1  2  3  1  0  X X+1  3  3  1  X  1 X+3 X+2  1  2  0 X+2  0
 0  0  1  0  1  3  2  3  X  1 X+1  0 X+2  1  2  X X+1  2  X X+3  1  3  1
 0  0  0  1  2  1  3  3 X+1  X  1 X+2  0  X  2 X+1 X+3 X+1  3  X  X  2  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+62x^18+230x^19+322x^20+594x^21+524x^22+670x^23+518x^24+588x^25+278x^26+202x^27+70x^28+18x^29+16x^30+2x^31+1x^32

The gray image is a code over GF(2) with n=92, k=12 and d=36.
This code was found by Heurico 1.11 in 0.078 seconds.