The generator matrix

 1  0  0  1  1  1  6  1  1  2  1  1  1
 0  1  0  1  6  3  1  0  1  1  2  2  2
 0  0  1  1  3  6  3  6  3  1  1  1  1
 0  0  0  4  0  0  0  0  0  4  0  0  4
 0  0  0  0  4  0  0  0  0  0  0  4  4
 0  0  0  0  0  4  0  0  0  0  4  4  0
 0  0  0  0  0  0  4  0  0  4  4  0  0
 0  0  0  0  0  0  0  4  0  4  0  4  0
 0  0  0  0  0  0  0  0  4  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+34x^6+16x^7+235x^8+416x^9+2340x^10+2672x^11+6596x^12+8128x^13+6616x^14+2672x^15+2355x^16+416x^17+220x^18+16x^19+28x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=52, k=15 and d=12.
This code was found by Heurico 1.16 in 4.15 seconds.