The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+96x^19+239x^20+288x^21+286x^22+280x^23+276x^24+262x^25+184x^26+84x^27+35x^28+8x^29+2x^30+4x^31+1x^32+2x^33

The gray image is a code over GF(2) with n=92, k=11 and d=38.
This code was found by Heurico 1.11 in 0.0227 seconds.