The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  X  X  1  2  1  2  X  1  1  1  1  1
 0  1  0  0  1  1  1  X  2  3 X+2  1  1  3  X  0  1  2  X  2 X+2 X+3  X
 0  0  1  1  2  3  1  1  X X+2  1  1  0 X+3  1 X+1 X+1  1 X+1  1 X+3 X+1  0
 0  0  0  2  0  2  2  2  2  2  0  0  2  0  0  2  2  2  0  0  2  0  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+147x^20+140x^21+196x^22+148x^23+180x^24+52x^25+60x^26+44x^27+47x^28+8x^30+1x^32

The gray image is a code over GF(2) with n=92, k=10 and d=40.
This code was found by Heurico 1.11 in 0.0495 seconds.