The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^4+192x^6+1679x^8+6464x^10+15916x^12+6464x^14+1679x^16+192x^18+90x^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 0.771 seconds.