The generator matrix

 1  1  1  1  2  1  1  1  1  2  1  1
 0  2  0  0  2  0  2  6  0  0  0  0
 0  0  2  0  2  2  2  6  6  0  0  0
 0  0  0  2  2  2  0  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+76x^4+304x^6+1031x^8+1616x^10+2048x^11+6232x^12+2048x^13+1616x^14+1031x^16+304x^18+76x^20+1x^24

The gray image is a code over GF(2) with n=48, k=14 and d=8.
This code was found by Heurico 1.16 in 0.194 seconds.