The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+66x^22+44x^23+74x^24+8x^25+29x^26+12x^27+20x^28+1x^32+1x^34

The gray image is a code over GF(2) with n=96, k=8 and d=44.
This code was found by Heurico 1.16 in 0.00536 seconds.