The generator matrix

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

generates a code of length 17 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+14x^18+1x^20

The gray image is a code over GF(2) with n=68, k=4 and d=36.
This code was found by Heurico 1.16 in 0.000966 seconds.