The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^4+76x^6+727x^8+732x^10+1024x^11+3756x^12+3072x^13+13976x^14+3072x^15+3327x^16+1024x^17+1304x^18+298x^20+284x^22+9x^24+12x^26

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 0.848 seconds.