The generator matrix

 1  0  0  0  1  1  1  1  1  2  1  2  1
 0  1  0  0  1  0  2  5  5  1  7  1  2
 0  0  1  0  1  0  1  4  0  3  0  2  2
 0  0  0  1  1  1  0  6  3  3  1  1  3
 0  0  0  0  2  0  2  0  6  4  4  6  0
 0  0  0  0  0  2  2  6  6  2  0  4  0

generates a code of length 13 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+70x^7+362x^8+1202x^9+3884x^10+6618x^11+14188x^12+12846x^13+14168x^14+6730x^15+3925x^16+1118x^17+316x^18+86x^19+20x^20+2x^21

The gray image is a code over GF(2) with n=52, k=16 and d=14.
This code was found by Heurico 1.16 in 5.51 seconds.