The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+79x^6+96x^7+622x^8+416x^9+1659x^10+416x^11+648x^12+96x^13+53x^14+9x^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 0.156 seconds.