The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+29x^20+132x^21+72x^22+104x^23+57x^24+44x^25+22x^26+32x^27+9x^28+8x^29+2x^30

The gray image is a code over GF(2) with n=92, k=9 and d=40.
This code was found by Heurico 1.13 in 0.016 seconds.