The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  1  X  1  1 X+2  0  X X+2  X X+2  1
 0  1  1  0  1  1  2 X+1  1 X+2  1 X+1  1  1  X X+3  1  1  0  1  2  1 X+3
 0  0  X  0  0  0  0  0  0  0  0  X  2 X+2 X+2  2  X X+2  2  X  X  X  X
 0  0  0  X  0  0  0  0  X X+2 X+2  X X+2  X  2 X+2  2  0 X+2  X  0  2  0
 0  0  0  0  X  0  2 X+2  0  2  0  X  X  0  2  2 X+2  2  X  X  X  0  0
 0  0  0  0  0  X X+2 X+2 X+2  X  2  X  X  X  0 X+2  2 X+2  0  X X+2  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+143x^16+40x^17+560x^18+416x^19+1478x^20+1444x^21+2858x^22+2324x^23+3061x^24+1488x^25+1488x^26+392x^27+513x^28+36x^29+114x^30+4x^31+19x^32+4x^34+1x^36

The gray image is a code over GF(2) with n=92, k=14 and d=32.
This code was found by Heurico 1.16 in 3.15 seconds.