The generator matrix

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

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+34x^17+73x^18+100x^19+178x^20+222x^21+270x^22+320x^23+266x^24+222x^25+156x^26+84x^27+62x^28+34x^29+10x^30+8x^31+5x^32+3x^34

The gray image is a code over GF(2) with n=92, k=11 and d=34.
This code was found by Heurico 1.16 in 0.101 seconds.