The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2
 0  2  0  0  0  2  6  2  0  0  4  4  0
 0  0  2  0  2  2  6  0  0  2  2  0  0
 0  0  0  2  2  0  6  2  2  2  0  2  0
 0  0  0  0  4  0  0  0  0  0  4  4  0
 0  0  0  0  0  4  0  0  0  4  4  4  0
 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  4
 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+64x^6+64x^7+247x^8+384x^9+1160x^10+1472x^11+2624x^12+4352x^13+2616x^14+1472x^15+1175x^16+384x^17+248x^18+64x^19+48x^20+8x^22+1x^24

The gray image is a code over GF(2) with n=52, k=14 and d=12.
This code was found by Heurico 1.16 in 0.372 seconds.