The generator matrix

 1  0  1  1  1  2  X  1  1  1  1  0  1  1  0  1  1  1 X+2  1  1  1  0
 0  1  1 X+2 X+3  1  1  2  3  X X+1  1  3 X+1  1  1 X+1 X+1  1 X+2  2  3  X
 0  0  X  0 X+2  X X+2  X  2 X+2  0  0  2  2 X+2 X+2  2 X+2  0  0  X X+2 X+2
 0  0  0  2  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0
 0  0  0  0  2  2  0  2  0  0  2  0  2  0  2  2  2  0  0  2  0  2  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+259x^20+208x^22+395x^24+112x^26+41x^28+8x^32

The gray image is a code over GF(2) with n=92, k=10 and d=40.
This code was found by Heurico 1.16 in 0.0792 seconds.