The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+86x^12+96x^14+63x^16+10x^20

The gray image is a code over GF(2) with n=56, k=8 and d=24.
This code was found by Heurico 1.16 in 0.113 seconds.