The generator matrix

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

generates a code of length 36 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+16x^34+91x^36+16x^38+2x^40+1x^48+1x^52

The gray image is a code over GF(2) with n=144, k=7 and d=68.
This code was found by Heurico 1.16 in 0.0168 seconds.