The generator matrix

 1  0  0  1  1  1  X  0 X+2  1  1  1  2  1  0  1  1  2  1 X+2  2  1  1
 0  1  0  1  X X+1  1  1  1  3  2 X+3  X X+2  1  3 X+1  1  X X+2  1  X  2
 0  0  1  1  1  0  1  X X+3 X+1 X+1  X  1  0 X+3 X+2  3  3  1  1  X  1  0
 0  0  0  X  0  2  0 X+2 X+2  0  X  2  X  X  2 X+2 X+2  0  X X+2  0  2  X
 0  0  0  0  2  0  0  0  0  0  2  2  0  0  2  2  2  2  2  2  0  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+74x^18+206x^19+413x^20+410x^21+667x^22+534x^23+681x^24+494x^25+381x^26+122x^27+71x^28+22x^29+13x^30+2x^31+2x^32+2x^33+1x^34

The gray image is a code over GF(2) with n=92, k=12 and d=36.
This code was found by Heurico 1.16 in 0.182 seconds.