The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  2  1  2
 0  1  0  1  2  3  1  1  0  7  2  1  5  6
 0  0  1  1  1  0  3  2  2  2  3  1  0  0
 0  0  0  2  0  6  2  2  2  0  6  4  4  4
 0  0  0  0  4  0  0  0  0  4  4  0  0  4
 0  0  0  0  0  4  0  0  4  4  4  0  4  4
 0  0  0  0  0  0  4  0  4  0  0  4  0  4
 0  0  0  0  0  0  0  4  0  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+167x^8+112x^9+980x^10+1584x^11+4516x^12+4448x^13+9148x^14+4448x^15+4515x^16+1584x^17+1004x^18+112x^19+140x^20+4x^22+5x^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 1.38 seconds.