The generator matrix

 1  0  0  0  0  1  1  1  1  1  2  1
 0  1  0  0  0  1  0  2  3  1  4  0
 0  0  1  0  0  1  2  3  3  2  1  0
 0  0  0  1  0  1  3  2  1  6  5  0
 0  0  0  0  1  1  5  0  2  5  4  0
 0  0  0  0  0  4  4  4  0  0  0  4

generates a code of length 12 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+50x^6+316x^7+1006x^8+3404x^9+7192x^10+13092x^11+15258x^12+13352x^13+7170x^14+3316x^15+1013x^16+300x^17+52x^18+12x^19+2x^20

The gray image is a code over GF(2) with n=48, k=16 and d=12.
This code was found by Heurico 1.16 in 3.42 seconds.