The generator matrix

 1  0  0  1  1  1  X  1  1  1  2 X+2  1  X  2 X+2  1 X+2  1  1  1  1  1
 0  1  0  1 X+2 X+3  1  0  0 X+1  1  1 X+3  X  X  0  X  1  X  3 X+3  X  1
 0  0  1  1 X+3 X+2  1 X+2 X+1 X+1  X X+1  X  1  1  1  X  0  1  0  X  3  1
 0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  2  0  0  2  0  2  0
 0  0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  0  2  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  2  2  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  0  2  2  0  2
 0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  0  0  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+46x^16+128x^17+309x^18+692x^19+1116x^20+2168x^21+2120x^22+3228x^23+2108x^24+2192x^25+1111x^26+684x^27+308x^28+120x^29+40x^30+4x^31+5x^32+3x^34+1x^42

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 2.29 seconds.