The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  1  1  1  2  1  1  X  1  0  2  X
 0  1  1  0 X+1  1 X+3  0  1  3  1 X+2  X X+2 X+1  1  2 X+3 X+2  3  0  X  2
 0  0  X  0  0  0  0  X  X X+2  X  X  2  0 X+2  X  X  X  X  0  2  X  2
 0  0  0  X  0 X+2 X+2  X  X  X  2  X  X  2 X+2  0  0  0  X  2  X  0 X+2
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  2  0  0  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  2  2  2  0  2  0  2  0  2  2  0
 0  0  0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  0  2  0  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  2  2  2  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+159x^16+52x^17+536x^18+524x^19+1605x^20+1492x^21+2814x^22+2028x^23+2800x^24+1468x^25+1662x^26+516x^27+528x^28+60x^29+106x^30+4x^31+24x^32+2x^34+3x^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 2.68 seconds.