The generator matrix

 1  0  0  1  1  1  2  0  1  1  1 X+2 X+2  1  1 X+2  2  0  1  1  1  X X+2
 0  1  0  0  3  3  1 X+2  2  1  X  1  1 X+3 X+2  2  1  1 X+3  0  2  1 X+2
 0  0  1 X+1 X+3  2 X+3  1  X  3  1  0 X+1 X+2 X+1  1  1  0 X+3 X+2  1 X+2  1
 0  0  0  2  2  0  2  2  2  0  0  2  0  2  0  2  2  2  0  0  0  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+106x^20+212x^21+182x^22+144x^23+130x^24+112x^25+48x^26+32x^27+34x^28+12x^29+10x^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 1.16 in 0.0179 seconds.