The generator matrix

 1  0  0  1  1  1  2  1  1  2  1  1
 0  1  0  1  6  3  1  0  0  0  0  0
 0  0  1  1  3  6  1  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+76x^4+128x^5+264x^6+512x^7+855x^8+1152x^9+3960x^10+4352x^11+10168x^12+4352x^13+3960x^14+1152x^15+855x^16+512x^17+264x^18+128x^19+76x^20+1x^24

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 0.419 seconds.