The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  0  X
 0  X  0  X  0  0  X  X  2 X+2  2 X+2  2  2 X+2 X+2  0  2  X X+2  X  X  0  0
 0  0  X  X  2 X+2 X+2  2  2 X+2  X  0  0 X+2  X  2  0  X  X  0  2 X+2  X  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+20x^22+36x^23+24x^24+24x^25+12x^26+4x^27+6x^28+1x^40

The gray image is a code over GF(2) with n=96, k=7 and d=44.
This code was found by Heurico 1.16 in 0.00333 seconds.