The generator matrix

 1  0  1  1  1 X+2  1  1  1  0  1  1 X+2  1  1  1  1  1  X  1  0 X+2  1
 0  1 X+1 X+2  1  1 X+1  3  0  1  3 X+2  1  3 X+1 X+3  0 X+2 X+2 X+1  1  1 X+3
 0  0  2  0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  2  0  0  0
 0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  2  2  2  2  0  2  2  2
 0  0  0  0  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  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+114x^20+136x^22+177x^24+56x^26+25x^28+2x^32+1x^36

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 0.0568 seconds.