The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^20+160x^21+340x^22+256x^23+376x^24+192x^25+284x^26+128x^27+124x^28+32x^29+12x^30+7x^32+4x^34

The gray image is a code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.16 in 0.052 seconds.