The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  1  1  0  2  0  0  1  1  2  1  1  1
 0  2  0  6  0  6  0  6  0  6  4  6  2  6  6  6  2  0  2  6  2  2  6  0  6  6  0  0
 0  0  4  0  0  0  0  0  0  0  4  0  4  4  4  0  4  0  0  4  0  4  0  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  0  0  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  0
 0  0  0  0  0  4  0  0  0  4  0  0  4  0  4  4  4  4  0  4  4  0  4  4  0  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  0  4  0  0  0  4  4  4  4  4  0  0  4  0  0
 0  0  0  0  0  0  0  4  0  4  0  4  4  4  0  4  0  0  4  0  4  0  0  4  0  0  4  0
 0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  0  4  4  0  4  0  4  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+76x^20+80x^22+465x^24+816x^26+1232x^28+816x^30+450x^32+80x^34+68x^36+11x^40+1x^48

The gray image is a code over GF(2) with n=112, k=12 and d=40.
This code was found by Heurico 1.16 in 2.89 seconds.