The generator matrix

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

generates a code of length 18 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+102x^16+64x^18+80x^20+8x^24+1x^32

The gray image is a code over GF(2) with n=72, k=8 and d=32.
This code was found by Heurico 1.16 in 0.00315 seconds.