The generator matrix

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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+108x^4+192x^5+552x^6+1024x^7+1719x^8+2944x^9+4824x^10+12224x^11+18360x^12+12224x^13+4824x^14+2944x^15+1719x^16+1024x^17+552x^18+192x^19+108x^20+1x^24

The gray image is a code over GF(2) with n=48, k=16 and d=8.
This code was found by Heurico 1.16 in 1.64 seconds.