The generator matrix

 1  0  0  1  1  1  2  4  4  1
 0  1  0  1  2  7  1  0  0  4
 0  0  1  1  1  0  1  1  1  4
 0  0  0  2  0  6  4  6  2  4
 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+61x^6+148x^7+528x^8+608x^9+1383x^10+648x^11+524x^12+128x^13+59x^14+4x^15+3x^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 0.0269 seconds.