The generator matrix

 1  0  0  1  1  1  0  1  1  X X+2 X+2  1  1  X  1  1  0  1  1  X  2  1
 0  1  0  1  X X+3  1  0 X+3  1  X  1 X+1  2  1  1 X+2  1  X  2  1  0  0
 0  0  1  1  1  0 X+3  X  X  1  1  X X+1  1  X X+3  3 X+1  2  1 X+3  1  0
 0  0  0  X  0 X+2 X+2  X  2  2 X+2  X  0  0  2  X X+2  0  X X+2 X+2 X+2  0
 0  0  0  0  2  0  0  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  0  0  0  0
 0  0  0  0  0  0  2  2  0  2  2  2  2  2  0  0  2  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+50x^16+124x^17+293x^18+694x^19+1204x^20+1912x^21+2569x^22+2722x^23+2512x^24+1948x^25+1234x^26+666x^27+260x^28+112x^29+62x^30+14x^31+5x^32+1x^34+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 2.34 seconds.