The generator matrix

 1  1  2  1  1  1  1  1  1  1  1  1
 0  2  2  0  0  0  0  0  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0
 0  0  0  0  0  0  0  0  0  0  4  0
 0  0  0  0  0  0  0  0  0  0  0  4

generates a code of length 12 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+16x^2+106x^4+400x^6+975x^8+1632x^10+8192x^11+10124x^12+8192x^13+1632x^14+975x^16+400x^18+106x^20+16x^22+1x^24

The gray image is a code over GF(2) with n=48, k=15 and d=4.
This code was found by Heurico 1.16 in 0.409 seconds.