The generator matrix

 1  0  0  1  1  1  6  1  2  1  1  1
 0  1  0  1  0  3  1  1  2  4  2  4
 0  0  1  1  1  0  1  1  0  0  1  0
 0  0  0  2  0  0  0  2  2  0  4  2
 0  0  0  0  2  6  6  2  0  2  4  0
 0  0  0  0  0  4  0  0  4  0  4  4
 0  0  0  0  0  0  4  0  4  4  0  4
 0  0  0  0  0  0  0  4  4  4  4  0

generates a code of length 12 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+20x^5+96x^6+300x^7+1367x^8+2820x^9+8992x^10+11196x^11+15952x^12+11196x^13+8992x^14+2820x^15+1367x^16+300x^17+96x^18+20x^19+1x^24

The gray image is a code over GF(2) with n=48, k=16 and d=10.
This code was found by Heurico 1.16 in 2.26 seconds.