The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+53x^26+104x^27+373x^28+670x^29+1409x^30+2092x^31+3545x^32+5006x^33+6603x^34+8588x^35+8659x^36+8272x^37+6771x^38+5268x^39+3716x^40+2048x^41+1204x^42+572x^43+327x^44+130x^45+83x^46+16x^47+18x^48+2x^49+3x^50+1x^52+1x^54+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 56.8 seconds.