The generator matrix

 1  1  1  1  1  2  1  1  1  2  1  1
 0  2  0  0  0  0  2  6  2  0  0  0
 0  0  2  0  0  2  2  6  0  0  0  0
 0  0  0  2  0  2  0  0  0  0  4  0
 0  0  0  0  2  2  0  6  2  0  4  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+78x^4+408x^6+1711x^8+3560x^10+4096x^11+13060x^12+4096x^13+3560x^14+1711x^16+408x^18+78x^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 0.746 seconds.