The generator matrix

 1  0  1  1  1  6  1  1  1
 0  1  3  6  5  1  0  6  0
 0  0  4  0  4  0  0  4  0
 0  0  0  4  4  4  4  4  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+14x^6+16x^7+82x^8+32x^9+80x^10+16x^11+12x^12+2x^14+1x^16

The gray image is a code over GF(2) with n=36, k=8 and d=12.
This code was found by Heurico 1.16 in 0.000491 seconds.