The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+85x^4+304x^6+1076x^8+1992x^10+1536x^11+8914x^12+5120x^13+8584x^14+1536x^15+2289x^16+856x^18+425x^20+40x^22+10x^24

The gray image is a code over GF(2) with n=52, k=15 and d=8.
This code was found by Heurico 1.16 in 0.53 seconds.