The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+36x^20+48x^21+79x^22+48x^23+98x^24+48x^25+62x^26+48x^27+40x^28+1x^30+1x^32+1x^34+1x^42

The gray image is a code over GF(2) with n=96, k=9 and d=40.
This code was found by Heurico 1.16 in 0.00746 seconds.