The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  X  1
 0  X  0  X  0  2  X X+2  0  X  2  2 X+2  0 X+2  X  X  2  2  2  2  X  0
 0  0  X  X  0  X X+2  2  2  X X+2  2  0  X X+2 X+2  0  2  0  X X+2  X  2
 0  0  0  2  2  2  0  2  2  0  0  0  0  2  2  2  2  2  2  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+18x^20+26x^21+79x^22+16x^23+77x^24+20x^25+13x^26+2x^29+3x^30+1x^42

The gray image is a code over GF(2) with n=92, k=8 and d=40.
This code was found by Heurico 1.16 in 0.00507 seconds.