The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  X  1  1  1  1  1  1  1 X+2  0  1
 0  1  1  0 X+1  1  1  0  1  2 X+1  1  1  3  3 X+1  3  3  3  X  1  X  0
 0  0  X  0  0  2  0 X+2 X+2 X+2 X+2 X+2  2  X X+2  0  X  2 X+2  2  2  2  2
 0  0  0  X  2  X X+2 X+2 X+2  2  X  2 X+2  X  0 X+2 X+2  X  X  X  2 X+2  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+245x^20+256x^22+341x^24+128x^26+47x^28+6x^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 7.97 seconds.