The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  1  1  1  1  1  1  1  1  0  4
 0  1  3  6  5  1  0  3  1  6  5  1  4  6  2  4  0  2  0  3  7  6  1  1
 0  0  4  0  4  0  0  4  0  0  4  0  0  4  4  0  4  0  4  0  0  4  4  4
 0  0  0  4  4  4  4  4  4  0  0  0  4  4  0  0  4  4  0  0  4  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+81x^22+93x^24+78x^26+1x^30+2x^36

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 0.0056 seconds.