The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^20+32x^21+72x^22+224x^23+137x^24+224x^25+48x^26+32x^27+104x^28+8x^30+13x^32+1x^40

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 0.422 seconds.