The generator matrix

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

generates a code of length 36 over Z8 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+58x^36+2x^40+2x^44+1x^48

The gray image is a code over GF(2) with n=144, k=6 and d=72.
This code was found by Heurico 1.16 in 0.0153 seconds.