The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+476x^24+152x^25+1292x^26+204x^27+1809x^28+304x^29+1868x^30+248x^31+1267x^32+88x^33+388x^34+28x^35+62x^36+4x^38+1x^44

The gray image is a code over GF(2) with n=116, k=13 and d=48.
This code was found by Heurico 1.11 in 97.6 seconds.