The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+125x^8+960x^10+2048x^11+3192x^12+6144x^13+7808x^14+6144x^15+3227x^16+2048x^17+960x^18+104x^20+7x^24

The gray image is a code over GF(2) with n=56, k=15 and d=16.
This code was found by Heurico 1.16 in 1.14 seconds.