The generator matrix

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

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+190x^18+64x^19+544x^20+256x^21+802x^22+384x^23+864x^24+256x^25+450x^26+64x^27+184x^28+30x^30+7x^32

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 0.254 seconds.