The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  0  1  1  1  4  2  1  1  4  4  1  1  1  2  1  1  1  1
 0  2  0  2  0  0  2  6  0  2  2  2  0  4  2  2  2  2  2  2  2  2  6  2  6  0  0  0  0
 0  0  2  2  0  6  2  0  2  2  0  4  0  2  2  6  2  2  2  2  6  2  2  4  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  4  4  0  0  0  0  4  0  4  4  4  0  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  4  0  0  0  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  0  4  0  4  4  4  0  0  0  4  0  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  4  4  4  0  0  0  4  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  0  4  4  0  4  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  4  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  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  4  4  0  0  4  4  4  4  0  4  0  4  0  4  4  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+266x^16+834x^20+112x^22+3124x^24+768x^25+672x^26+4096x^27+4028x^28+6656x^29+896x^30+4096x^31+3583x^32+768x^33+352x^34+1962x^36+16x^38+480x^40+56x^44+2x^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 10.2 seconds.