The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^10+30x^11+59x^12+100x^13+85x^14+96x^15+61x^16+28x^17+16x^18+2x^19+7x^20+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 0.00249 seconds.