The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+427x^16+1016x^17+2732x^18+5256x^19+9722x^20+14880x^21+19920x^22+23072x^23+19621x^24+15288x^25+10172x^26+5000x^27+2518x^28+944x^29+392x^30+80x^31+30x^32+1x^40

The gray image is a code over GF(2) with n=92, k=17 and d=32.
This code was found by Heurico 1.13 in 54 seconds.