The generator matrix

 1  0  0  1  1  1  6  1  1  1  4  2  1  2  4  6  1  6  0  1  1  2  4  1  1  1  1  1
 0  1  0  1  6  3  1  0  0  3  1  1  7  2  2  0  2  1  1  5  4  1  2  6  3  1  2  0
 0  0  1  1  3  6  3  6  3  3  2  1  2  1  1  1  2  0  3  0  1  5  1  0  3  1  1  0
 0  0  0  4  0  0  0  0  0  4  4  4  0  4  0  4  4  0  0  0  4  4  0  0  0  4  0  0
 0  0  0  0  4  0  0  0  4  0  4  4  0  4  4  0  0  4  0  0  4  4  4  4  0  4  4  0
 0  0  0  0  0  4  0  0  0  0  4  4  4  4  0  4  4  4  0  0  0  0  4  4  0  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  4  4  4  4  0  4  0  4  4  0  4  0  4  0
 0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  0  4  4  4  0  0  4  0  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+32x^20+88x^21+245x^22+420x^23+936x^24+1096x^25+2070x^26+1932x^27+2655x^28+2032x^29+2080x^30+1148x^31+933x^32+360x^33+202x^34+84x^35+48x^36+8x^37+11x^38+2x^40+1x^44

The gray image is a code over GF(2) with n=112, k=14 and d=40.
This code was found by Heurico 1.16 in 2.59 seconds.