The generator matrix

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

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+69x^16+52x^17+173x^18+316x^19+593x^20+964x^21+1216x^22+1420x^23+1210x^24+988x^25+602x^26+308x^27+158x^28+44x^29+56x^30+4x^31+16x^32+1x^34+1x^36

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 0.732 seconds.