The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^19+129x^20+236x^21+431x^22+840x^23+1378x^24+2368x^25+3706x^26+4680x^27+5098x^28+4640x^29+3670x^30+2556x^31+1471x^32+784x^33+364x^34+190x^35+109x^36+36x^37+19x^38+12x^39+6x^40+2x^42

The gray image is a code over GF(2) with n=112, k=15 and d=38.
This code was found by Heurico 1.16 in 11.5 seconds.