The generator matrix

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

generates a code of length 24 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+78x^16+32x^20+804x^24+32x^28+73x^32+4x^40

The gray image is a code over GF(2) with n=96, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0188 seconds.