The generator matrix

 1  0  0  0  1  1  1  2  1  6  1  1  1  1
 0  1  0  0  1  2  0  1  3  0  0  7  1  4
 0  0  1  0  1  0  3  3  0  1  3  2  6  4
 0  0  0  1  1  1  6  1  2  1  2  3  4  2
 0  0  0  0  2  0  0  4  6  6  2  4  0  6
 0  0  0  0  0  4  0  4  4  4  0  0  0  4
 0  0  0  0  0  0  4  0  0  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+137x^8+390x^9+1557x^10+3302x^11+8391x^12+11654x^13+14637x^14+11702x^15+8386x^16+3298x^17+1591x^18+354x^19+109x^20+18x^21+7x^22+2x^23

The gray image is a code over GF(2) with n=56, k=16 and d=16.
This code was found by Heurico 1.16 in 6.22 seconds.