The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+40x^17+225x^18+312x^19+862x^20+690x^21+1468x^22+964x^23+1474x^24+758x^25+902x^26+256x^27+154x^28+46x^29+28x^30+4x^31+5x^32+2x^33+1x^34

The gray image is a code over GF(2) with n=92, k=13 and d=34.
This code was found by Heurico 1.16 in 0.758 seconds.