The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+46x^10+262x^12+422x^14+239x^16+42x^18+10x^20+2x^22

The gray image is a code over GF(2) with n=56, k=10 and d=20.
This code was found by Heurico 1.16 in 0.00726 seconds.