The generator matrix

 1  0  1  1  1  0  1  1  0  1  1 X+2  2  1  2 X+2  1  X  1  1  X  1  1
 0  1  1  0  1  1  0 X+1  1  0  3  1  1  2  1  1  1 X+2  0 X+2  0 X+1 X+3
 0  0  X  0  0  0  0  X  X X+2  2  X X+2  2  X X+2  0  X X+2  X  2  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  2  X  X X+2  X  2  X  2  2 X+2  X
 0  0  0  0  X X+2 X+2  X X+2  X  2  X  0  X  X  0  2 X+2  0  X X+2  2  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  0  2  0  2  0  0  0  2
 0  0  0  0  0  0  2  2  2  0  0  0  2  2  2  2  0  0  0  2  0  0  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+114x^16+24x^17+619x^18+376x^19+1570x^20+1488x^21+2759x^22+2352x^23+2908x^24+1528x^25+1588x^26+344x^27+564x^28+32x^29+88x^30+25x^32+1x^34+2x^36+1x^38

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 2.97 seconds.