The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+26x^19+145x^20+358x^21+779x^22+1518x^23+3364x^24+4398x^25+8271x^26+7918x^27+11617x^28+8124x^29+8571x^30+4570x^31+3194x^32+1448x^33+771x^34+232x^35+106x^36+70x^37+38x^38+8x^39+5x^40+2x^41+2x^42

The gray image is a code over GF(2) with n=112, k=16 and d=38.
This code was found by Heurico 1.16 in 37.7 seconds.