The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+63x^4+32x^5+56x^6+192x^7+509x^8+480x^9+288x^10+672x^11+3011x^12+6816x^13+8528x^14+6816x^15+3011x^16+672x^17+288x^18+480x^19+509x^20+192x^21+56x^22+32x^23+63x^24+1x^28

The gray image is a code over GF(2) with n=56, k=15 and d=8.
This code was found by Heurico 1.16 in 0.541 seconds.