The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+267x^8+32x^9+1050x^10+1056x^11+4866x^12+5056x^13+8130x^14+5056x^15+4793x^16+1056x^17+1166x^18+32x^19+182x^20+22x^22+3x^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 4.88 seconds.