The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1
 0  2  0  0  0  0  0  0  2  4  4  6  2
 0  0  2  0  0  0  2  6  2  6  2  6  2
 0  0  0  2  0  2  2  6  0  0  0  4  0
 0  0  0  0  2  2  0  6  0  2  4  4  0
 0  0  0  0  0  4  0  0  0  4  0  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  0
 0  0  0  0  0  0  0  4  0  4  0  4  4
 0  0  0  0  0  0  0  0  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+150x^6+719x^8+2544x^10+8904x^12+8192x^13+8812x^14+2559x^16+768x^18+104x^20+14x^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 2.57 seconds.