The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^19+262x^20+326x^21+584x^22+1026x^23+1453x^24+2268x^25+3496x^26+4312x^27+4742x^28+4554x^29+3558x^30+2438x^31+1527x^32+934x^33+510x^34+272x^35+196x^36+104x^37+42x^38+16x^39+11x^40+6x^41+2x^42+2x^43

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 17.2 seconds.