The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+25x^10+70x^11+108x^12+192x^13+247x^14+188x^15+107x^16+48x^17+15x^18+14x^19+8x^20+1x^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 0.00578 seconds.