The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  1
 0  2  0  0  0  0  0  0  0  2  4  6  4
 0  0  2  0  0  0  2  6  2  2  6  4  4
 0  0  0  2  0  2  2  6  0  0  4  4  0
 0  0  0  0  2  2  0  6  2  0  0  4  0
 0  0  0  0  0  4  0  0  4  4  0  4  0
 0  0  0  0  0  0  4  0  4  0  0  4  0
 0  0  0  0  0  0  0  4  4  0  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+48x^6+88x^7+175x^8+420x^9+568x^10+864x^11+3320x^12+5436x^13+3272x^14+888x^15+575x^16+412x^17+200x^18+80x^19+24x^20+4x^21+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 0.361 seconds.