The generator matrix

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

generates a code of length 36 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+56x^26+100x^27+309x^28+528x^29+1211x^30+1954x^31+4052x^32+4444x^33+7718x^34+7122x^35+9986x^36+7496x^37+8130x^38+4660x^39+3834x^40+1760x^41+1229x^42+488x^43+229x^44+104x^45+83x^46+10x^47+17x^48+4x^49+4x^50+2x^51+4x^52+1x^58

The gray image is a code over GF(2) with n=144, k=16 and d=52.
This code was found by Heurico 1.16 in 54.7 seconds.