The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^6+847x^8+384x^9+5232x^10+3584x^11+18376x^12+8448x^13+18284x^14+3584x^15+5247x^16+384x^17+896x^18+104x^20+14x^22+1x^24

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 3.33 seconds.