The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+37x^6+52x^7+181x^8+332x^9+1013x^10+1636x^11+4176x^12+6172x^13+5570x^14+6172x^15+4163x^16+1636x^17+1034x^18+332x^19+176x^20+52x^21+25x^22+7x^24+1x^26

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 0.897 seconds.