The generator matrix

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

generates a code of length 16 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+126x^16+1x^32

The gray image is a code over GF(2) with n=64, k=7 and d=32.
This code was found by Heurico 1.16 in 0.00124 seconds.