The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^5+169x^6+388x^7+1054x^8+3652x^9+5492x^10+16484x^11+11148x^12+16176x^13+5470x^14+3820x^15+1097x^16+348x^17+132x^18+44x^19+12x^20+2x^21+1x^22

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 3.91 seconds.