The generator matrix

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

generates a code of length 16 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+83x^14+91x^16+76x^18+4x^20+1x^30

The gray image is a code over GF(2) with n=64, k=8 and d=28.
This code was found by Heurico 1.16 in 0.00183 seconds.