The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+330x^16+192x^18+256x^19+790x^21+640x^22+896x^23+616x^24+2090x^25+624x^26+3968x^27+1056x^28+7676x^29+1536x^30+4224x^31+1581x^32+3380x^33+928x^34+896x^35+480x^36+398x^37+32x^40+2x^41+176x^42

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 7.07 seconds.