The generator matrix

 1  0  1  1  1  0  1  1  1  1  1  1
 0  1  1  0  1  1  0  0  0  0  0  0
 0  0  2  0  0  6  6  2  0  0  0  0
 0  0  0  2  0  6  6  0  0  2  0  0
 0  0  0  0  2  6  6  2  6  2  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+124x^4+816x^6+512x^7+2823x^8+1536x^9+6992x^10+10240x^11+19448x^12+10240x^13+6992x^14+1536x^15+2823x^16+512x^17+816x^18+124x^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 1.97 seconds.