The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+33x^6+74x^7+190x^8+424x^9+768x^10+1360x^11+2840x^12+6328x^13+8698x^14+6340x^15+2901x^16+1368x^17+712x^18+416x^19+208x^20+72x^21+29x^22+2x^23+4x^24

The gray image is a code over GF(2) with n=56, k=15 and d=12.
This code was found by Heurico 1.16 in 1.31 seconds.