The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+203x^20+16x^21+656x^22+112x^23+1302x^24+592x^25+2372x^26+1328x^27+3168x^28+1328x^29+2412x^30+592x^31+1428x^32+112x^33+540x^34+16x^35+163x^36+36x^38+4x^40+2x^44+1x^48

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 5.58 seconds.