The generator matrix

 1  0  1  1  1  0  2  1  1  1  1  1
 0  1  1  0  3  1  0  0  0  0  0  0
 0  0  2  6  0  6  2  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  4  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+1106x^8+768x^9+3144x^10+7424x^11+7042x^12+7424x^13+3276x^14+768x^15+941x^16+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 0.526 seconds.