The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  2  1
 0  2  0  0  4  6  2  2  0  0  4  4  0  2
 0  0  2  0  6  6  6  4  0  2  6  2  6  2
 0  0  0  2  2  4  6  2  4  2  2  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+17x^10+36x^11+52x^12+96x^13+119x^14+88x^15+43x^16+32x^17+23x^18+4x^19+1x^22

The gray image is a code over GF(2) with n=56, k=9 and d=20.
This code was found by Heurico 1.16 in 0.00251 seconds.