The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  0  2  2  2  2
 0  2  0  6  0  6  0  2  4  6  4  6  4  2  4  2  6  2  6  2  0  0  4  0
 0  0  4  0  0  4  4  4  4  0  4  4  0  4  0  0  0  0  4  4  4  0  4  0
 0  0  0  4  4  4  4  0  0  0  4  0  4  4  0  4  0  4  4  0  4  0  4  4

generates a code of length 24 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+34x^22+58x^24+28x^26+4x^28+2x^30+1x^32

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 0.00347 seconds.