The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  4  1  1
 0  1  1  0  1  1  0  7  1  0  3  1  3  1
 0  0  2  0  0  0  0  0  0  6  2  4  2  4
 0  0  0  2  0  0  0  4  2  2  2  2  2  2
 0  0  0  0  2  0  0  6  4  6  4  0  6  2
 0  0  0  0  0  2  0  2  6  4  2  0  2  2
 0  0  0  0  0  0  2  2  4  2  6  4  0  0

generates a code of length 14 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+82x^7+264x^8+500x^9+1187x^10+2628x^11+9198x^12+9060x^13+19686x^14+9096x^15+9127x^16+2652x^17+1260x^18+476x^19+226x^20+76x^21+10x^22+6x^23+1x^26

The gray image is a code over GF(2) with n=56, k=16 and d=14.
This code was found by Heurico 1.16 in 5.78 seconds.