The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+261x^8+718x^10+2406x^12+2048x^13+5526x^14+2048x^15+2369x^16+778x^18+210x^20+18x^22+1x^24

The gray image is a code over GF(2) with n=56, k=14 and d=16.
This code was found by Heurico 1.16 in 2.09 seconds.