The generator matrix

 1  0  1  1  1  0  1  1  0  1  2  1  1  1  0  1  1  0  1  1  1  1  6  1  4  1  1  2  6  0  1  1  2  1  0  2
 0  1  1  0  1  1  4  3  1  6  1  7  0  3  1  1  4  1  7  6  0  5  1  3  1  3  1  4  1  4  4  3  1  3  1  0
 0  0  2  0  0  0  0  0  0  0  0  4  2  2  6  2  2  2  2  2  6  6  6  4  6  0  4  2  6  4  2  4  0  6  6  0
 0  0  0  2  0  0  0  0  2  6  6  6  6  6  4  2  4  2  4  0  2  2  0  6  6  4  4  4  0  2  4  4  6  4  6  0
 0  0  0  0  2  0  4  6  0  4  0  2  6  4  6  4  2  6  0  6  6  4  6  2  2  2  4  4  4  2  4  4  6  6  4  4
 0  0  0  0  0  2  6  6  6  2  4  2  2  4  4  6  2  2  6  4  4  2  2  6  0  6  6  4  2  6  0  2  0  6  4  0

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

Homogenous weight enumerator: w(x)=1x^0+155x^28+28x^29+564x^30+412x^31+1156x^32+856x^33+1996x^34+1804x^35+2524x^36+1632x^37+2042x^38+1076x^39+1097x^40+296x^41+474x^42+36x^43+185x^44+4x^45+42x^46+1x^48+2x^50+1x^56

The gray image is a code over GF(2) with n=144, k=14 and d=56.
This code was found by Heurico 1.16 in 5.25 seconds.