The generator matrix

 1  0  0  1  1  1  6  1  1  2  1  1  1  1
 0  1  0  1  0  1  1  2  3  1  0  4  1  5
 0  0  1  1  1  0  1  1  1  0  2  2  5  1
 0  0  0  2  0  0  0  0  6  0  4  6  4  2
 0  0  0  0  2  0  4  6  6  6  4  0  6  2
 0  0  0  0  0  2  6  6  2  4  6  6  6  2

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

Homogenous weight enumerator: w(x)=1x^0+132x^8+80x^9+890x^10+1540x^11+4243x^12+5524x^13+7804x^14+5640x^15+4442x^16+1432x^17+794x^18+116x^19+109x^20+4x^21+16x^22+1x^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 2.47 seconds.