The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+137x^20+72x^21+56x^22+192x^23+152x^24+176x^25+48x^26+64x^27+78x^28+8x^29+24x^30+15x^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 0.175 seconds.