The generator matrix

 1  0  0  0  1  1  1  2  1  1  4  1  1  1
 0  1  0  0  4  1  5  1  2  3  1  4  2  4
 0  0  1  0  5  1  4  3  2  7  3  3  1  0
 0  0  0  1  1  4  5  5  3  4  6  2  1  2

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

Homogenous weight enumerator: w(x)=1x^0+100x^10+294x^11+534x^12+658x^13+889x^14+692x^15+571x^16+268x^17+74x^18+6x^19+6x^20+2x^21+1x^22

The gray image is a code over GF(2) with n=56, k=12 and d=20.
This code was found by Heurico 1.16 in 0.0606 seconds.