The generator matrix

 1  1  1  1  2  1  1  1  1  1  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  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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+85x^4+314x^6+160x^7+1106x^8+1056x^9+1608x^10+6976x^11+10114x^12+6976x^13+1740x^14+1056x^15+941x^16+160x^17+424x^18+41x^20+10x^22

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 0.736 seconds.