The generator matrix

 1  0  1  1  1  0  2  2  1  1  1  1
 0  1  1  0  3  1  0  0  0  0  0  0
 0  0  2  0  2  0  2  2  0  0  0  0
 0  0  0  2  2  6  2  0  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+552x^6+1719x^8+512x^9+4824x^10+3584x^11+10168x^12+3584x^13+4824x^14+512x^15+1719x^16+552x^18+108x^20+1x^24

The gray image is a code over GF(2) with n=48, k=15 and d=8.
This code was found by Heurico 1.16 in 0.523 seconds.