The generator matrix

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

generates a code of length 11 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+7x^6+40x^7+42x^8+156x^9+83x^10+376x^11+72x^12+160x^13+37x^14+32x^15+13x^16+4x^17+1x^18

The gray image is a code over GF(2) with n=44, k=10 and d=12.
This code was found by Heurico 1.16 in 0.00242 seconds.