The generator matrix

 1  0  1  1  1  6  1  1  1  0  1  4  2  4
 0  1  1  6  3  1  4  3  2  1  7  1  1  1
 0  0  2  0  6  0  2  0  2  4  6  2  6  6
 0  0  0  4  0  0  4  0  4  4  4  0  0  0
 0  0  0  0  4  0  4  4  0  0  0  4  0  4
 0  0  0  0  0  4  0  4  0  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+71x^10+48x^11+388x^12+208x^13+629x^14+208x^15+371x^16+48x^17+65x^18+8x^20+3x^22

The gray image is a code over GF(2) with n=56, k=11 and d=20.
This code was found by Heurico 1.16 in 0.0799 seconds.