The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+31x^6+64x^7+58x^8+40x^9+587x^10+120x^11+64x^12+24x^13+21x^14+8x^15+5x^16+1x^18

The gray image is a code over GF(2) with n=40, k=10 and d=12.
This code was found by Heurico 1.16 in 0.00359 seconds.