The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^28+152x^29+283x^30+612x^31+956x^32+1268x^33+1846x^34+2000x^35+2044x^36+2148x^37+1718x^38+1336x^39+952x^40+508x^41+284x^42+144x^43+35x^44+20x^45+23x^46+4x^47+3x^48+6x^50

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 4.18 seconds.