The generator matrix

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

generates a code of length 25 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+50x^16+98x^17+301x^18+576x^19+1386x^20+2488x^21+4949x^22+7376x^23+9740x^24+11692x^25+9614x^26+7344x^27+4968x^28+2552x^29+1462x^30+560x^31+225x^32+66x^33+53x^34+16x^35+14x^36+5x^38

The gray image is a code over GF(2) with n=100, k=16 and d=32.
This code was found by Heurico 1.16 in 25.1 seconds.