The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1
 0  X  0 X+2  0 X+2  2 X+2  0 X+2  0 X+2  0 X+2  2  X  0  2  2 X+2  X  2  0  0
 0  0  2  0  0  0  2  0  0  2  2  2  0  2  2  2  2  2  0  0  2  2  2  0
 0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  0  2  0  0  0  0  2  0  0
 0  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  2  0  2  0  2  0  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+6x^20+8x^21+19x^22+92x^23+17x^24+84x^25+10x^26+4x^27+8x^28+4x^29+2x^30+1x^46

The gray image is a code over GF(2) with n=96, k=8 and d=40.
This code was found by Heurico 1.16 in 0.00574 seconds.