The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+259x^20+72x^21+658x^22+528x^23+1947x^24+1952x^25+4300x^26+3600x^27+6038x^28+3568x^29+4444x^30+1968x^31+2049x^32+544x^33+544x^34+48x^35+183x^36+8x^37+34x^38+19x^40+4x^42

The gray image is a code over GF(2) with n=112, k=15 and d=40.
This code was found by Heurico 1.16 in 58.4 seconds.