The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+58x^8+92x^9+156x^10+468x^11+812x^12+920x^13+796x^14+488x^15+181x^16+76x^17+36x^18+4x^19+4x^20+4x^22

The gray image is a code over GF(2) with n=52, k=12 and d=16.
This code was found by Heurico 1.16 in 0.0401 seconds.