The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+61x^20+80x^21+168x^22+310x^23+344x^24+620x^25+845x^26+1032x^27+1245x^28+1048x^29+860x^30+640x^31+357x^32+284x^33+162x^34+64x^35+37x^36+16x^37+12x^38+2x^39+2x^40+1x^42+1x^44

The gray image is a code over GF(2) with n=112, k=13 and d=40.
This code was found by Heurico 1.16 in 1.21 seconds.