The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^18+50x^19+166x^20+248x^21+742x^22+1420x^23+3438x^24+4482x^25+8426x^26+8076x^27+11204x^28+8136x^29+8462x^30+4608x^31+3479x^32+1420x^33+736x^34+178x^35+134x^36+48x^37+26x^38+4x^39+10x^40+2x^41+2x^42+2x^46

The gray image is a code over GF(2) with n=112, k=16 and d=36.
This code was found by Heurico 1.16 in 28.2 seconds.