The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^8+144x^10+32x^11+349x^12+224x^13+480x^14+224x^15+349x^16+32x^17+144x^18+34x^20+1x^28

The gray image is a code over GF(2) with n=56, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0127 seconds.