The generator matrix

 1  0  1  1  1  X  1  1  1  1 X+2 X+2  0  2  0  0  X  1  1  1  2  X  1
 0  1  1  2 X+1  1  X X+3 X+2  3  1  1  1  X  1  1  1  2  0  2  1  1 X+1
 0  0  X X+2  2 X+2  X X+2  2  0 X+2  0  2 X+2 X+2  X  2  2  X  0  2  X  X

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+62x^21+57x^22+54x^23+23x^24+26x^25+13x^26+18x^27+1x^30+1x^34

The gray image is a code over GF(2) with n=92, k=8 and d=42.
This code was found by Heurico 1.16 in 0.00378 seconds.