The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+156x^21+134x^22+202x^23+149x^24+144x^25+65x^26+92x^27+26x^28+36x^29+8x^30+10x^31+1x^34

The gray image is a code over GF(2) with n=96, k=10 and d=42.
This code was found by Heurico 1.16 in 0.0912 seconds.