The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+207x^28+344x^30+64x^31+775x^32+320x^33+1044x^34+640x^35+1411x^36+640x^37+1060x^38+320x^39+768x^40+64x^41+348x^42+137x^44+20x^46+24x^48+5x^52

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 7.17 seconds.