The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+235x^16+36x^18+368x^20+512x^22+128x^23+2128x^24+768x^25+1788x^26+3968x^27+3208x^28+6656x^29+2592x^30+3968x^31+2911x^32+768x^33+1052x^34+128x^35+1024x^36+160x^38+288x^40+4x^42+72x^44+5x^48

The gray image is a code over GF(2) with n=116, k=15 and d=32.
This code was found by Heurico 1.16 in 10 seconds.