The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+86x^6+118x^7+653x^8+1398x^9+3653x^10+7686x^11+11979x^12+14358x^13+12009x^14+7698x^15+3662x^16+1394x^17+631x^18+114x^19+89x^20+2x^21+5x^22

The gray image is a code over GF(2) with n=52, k=16 and d=12.
This code was found by Heurico 1.16 in 3.24 seconds.