The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+31x^18+102x^19+167x^20+228x^21+328x^22+378x^23+305x^24+216x^25+148x^26+90x^27+33x^28+4x^29+4x^30+6x^31+6x^32+1x^34

The gray image is a code over GF(2) with n=92, k=11 and d=36.
This code was found by Heurico 1.16 in 0.0557 seconds.