The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+113x^6+64x^7+488x^8+704x^9+1343x^10+704x^11+524x^12+64x^13+79x^14+11x^16+1x^18

The gray image is a code over GF(2) with n=40, k=12 and d=12.
This code was found by Heurico 1.16 in 0.134 seconds.