The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+51x^18+120x^19+259x^20+448x^21+616x^22+866x^23+1359x^24+2520x^25+3425x^26+4196x^27+4884x^28+4272x^29+3506x^30+2512x^31+1479x^32+984x^33+511x^34+340x^35+193x^36+96x^37+78x^38+30x^39+17x^40+5x^42

The gray image is a code over GF(2) with n=112, k=15 and d=36.
This code was found by Heurico 1.16 in 15.3 seconds.