The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^28+60x^29+550x^30+376x^31+1101x^32+984x^33+2058x^34+1608x^35+2537x^36+1696x^37+2010x^38+1032x^39+1205x^40+328x^41+406x^42+56x^43+178x^44+4x^45+32x^46+4x^48+1x^52+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 5.15 seconds.