The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^10+64x^11+297x^12+360x^13+492x^14+248x^15+333x^16+88x^17+57x^18+8x^19+9x^20+2x^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 0.311 seconds.