The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  X  1  X  2  1  X  0  X  0  X  1  X
 0  X  0  0  0  X X+2  X  0  2  2  X X+2  2  2 X+2  0  2  X  2 X+2 X+2  0
 0  0  X  0  X  X X+2  0  0  0  X X+2 X+2  X  X  0  2  X  0  2  X X+2  0
 0  0  0  X  X  0 X+2  X  2  X  2  2 X+2  0  X  2  X  2  X  X X+2  X  0
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  2  0  0  0  2  0  2  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  2  0  0  2  0  2  2  0  0  2  0  2  0  2  2
 0  0  0  0  0  0  0  2  0  0  2  2  2  2  0  0  0  0  2  2  0  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+164x^16+8x^17+386x^18+144x^19+923x^20+504x^21+1595x^22+736x^23+1586x^24+504x^25+970x^26+144x^27+372x^28+8x^29+116x^30+25x^32+4x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=92, k=13 and d=32.
This code was found by Heurico 1.16 in 1.06 seconds.