The generator matrix

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

Homogenous weight enumerator: w(x)=1x^0+111x^6+240x^7+1052x^8+3632x^9+5514x^10+16608x^11+11210x^12+16608x^13+5536x^14+3632x^15+1043x^16+240x^17+102x^18+6x^20+1x^22

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 28.9 seconds.