The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+188x^21+762x^22+1762x^23+3812x^24+6138x^25+10597x^26+14006x^27+18302x^28+18974x^29+19147x^30+14530x^31+10671x^32+6154x^33+3475x^34+1490x^35+702x^36+222x^37+99x^38+20x^39+16x^40+4x^41

The gray image is a code over GF(2) with n=116, k=17 and d=42.
This code was found by Heurico 1.11 in 70.5 seconds.