The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+8x^13+44x^14+8x^15+1x^16+2x^20

The gray image is a code over GF(2) with n=56, k=6 and d=26.
This code was found by Heurico 1.16 in 0.000445 seconds.