The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  0  1  1  6  1  1  0  1  1  6  1  1  1  1  0  1  6  1  1  0  1  2  0  0
 0  1  3  6  1  1  0  3  1  6  5  1  1  0  5  1  6  3  1  0  3  1  6  5  0  3  1  0  1  6  3  1  5  0  1  1
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  4  4  4  4  0  4  4  4  4  0  0  4  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  0  4  4  4  4  4  0  0  4  4  0  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  4  0  4  4  4  4  4  4  4  0  0  0  0  4  4  4  0  0  4  4  0  4  0  0
 0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  0  4  0  0  0  4  0  0  4  4  0  4  4  4  0  0  4  4  0  4  4
 0  0  0  0  0  0  4  0  0  4  4  0  0  4  4  0  0  4  0  0  4  0  4  0  0  4  4  4  4  0  0  4  4  4  4  0
 0  0  0  0  0  0  0  4  0  4  0  0  0  0  0  0  4  4  4  4  0  0  4  0  4  4  4  4  4  4  0  0  0  0  4  0
 0  0  0  0  0  0  0  0  4  0  4  4  0  0  4  4  4  4  0  0  0  4  4  4  0  4  0  4  0  0  0  0  4  4  0  0

generates a code of length 36 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+116x^28+8x^29+156x^30+120x^31+647x^32+488x^33+988x^34+920x^35+1321x^36+920x^37+1012x^38+488x^39+605x^40+120x^41+148x^42+8x^43+98x^44+26x^48+1x^52+1x^56

The gray image is a code over GF(2) with n=144, k=13 and d=56.
This code was found by Heurico 1.16 in 1.38 seconds.