The generator matrix

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

generates a code of length 25 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+80x^14+174x^16+380x^18+256x^19+688x^20+1280x^21+2392x^22+3840x^23+4576x^24+5632x^25+4168x^26+3840x^27+2512x^28+1280x^29+1040x^30+256x^31+145x^32+92x^34+96x^36+40x^38

The gray image is a code over GF(2) with n=100, k=15 and d=28.
This code was found by Heurico 1.16 in 4.86 seconds.