The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^6+104x^7+1346x^8+2376x^9+8708x^10+11856x^11+16448x^12+11856x^13+8652x^14+2376x^15+1397x^16+104x^17+140x^18+8x^20

The gray image is a code over GF(2) with n=48, k=16 and d=12.
This code was found by Heurico 1.16 in 3.29 seconds.