The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  1
 0  2  0  0  0  0  0  0  2  4  2  2  0
 0  0  2  0  0  0  0  0  2  2  6  0  4
 0  0  0  2  0  0  0  2  0  2  2  4  4
 0  0  0  0  2  0  2  2  0  0  4  2  0
 0  0  0  0  0  2  2  0  4  2  2  0  0
 0  0  0  0  0  0  4  0  0  4  0  4  4
 0  0  0  0  0  0  0  4  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+97x^6+120x^7+478x^8+664x^9+1284x^10+2936x^11+6348x^12+8920x^13+6302x^14+2984x^15+1289x^16+648x^17+500x^18+104x^19+76x^20+8x^21+9x^22

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 1.42 seconds.