The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^5+88x^6+176x^7+455x^8+1424x^9+3496x^10+6576x^11+8304x^12+6576x^13+3496x^14+1424x^15+455x^16+176x^17+88x^18+16x^19+1x^24

The gray image is a code over GF(2) with n=48, k=15 and d=10.
This code was found by Heurico 1.16 in 0.746 seconds.