The generator matrix

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

generates a code of length 24 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+79x^20+304x^22+266x^24+304x^26+56x^28+13x^32+1x^36

The gray image is a code over GF(2) with n=96, k=10 and d=40.
This code was found by Heurico 1.16 in 0.0224 seconds.