The generator matrix

 1  1  1  1  2  2  2  1  1  2  1  1
 0  2  0  2  0  2  2  0  0  0  0  0
 0  0  2  2  2  2  0  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  4  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+60x^4+120x^6+503x^8+1544x^10+3736x^12+1544x^14+503x^16+120x^18+60x^20+1x^24

The gray image is a code over GF(2) with n=48, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0499 seconds.