The generator matrix

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

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+51x^20+110x^21+80x^22+48x^23+72x^24+92x^25+45x^26+3x^28+6x^29+2x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=92, k=9 and d=40.
This code was found by Heurico 1.16 in 0.00773 seconds.