The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  2  X X+2  1  X  1  0  0  1  1  1  1
 0  1  0  0  3 X+3  1  2  2  3 X+1  1  1  X  2 X+2  2  1  1  X  3 X+3  3
 0  0  1  1  1  0  1 X+2 X+1 X+1  X X+3  X  1 X+1  1  1  2  2  2 X+3  3  X
 0  0  0  X X+2 X+2  2 X+2  X  2  0  X X+2 X+2  0  X  2 X+2  2  2  X  2  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+104x^19+213x^20+320x^21+234x^22+338x^23+267x^24+282x^25+144x^26+84x^27+31x^28+20x^29+6x^30+2x^31+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 1.16 in 0.0491 seconds.