The generator matrix

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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+35x^6+96x^7+113x^8+352x^9+1247x^10+576x^11+3347x^12+576x^13+1257x^14+352x^15+114x^16+96x^17+21x^18+9x^20

The gray image is a code over GF(2) with n=48, k=13 and d=12.
This code was found by Heurico 1.16 in 0.0469 seconds.