The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  0  2  4  4  0  2  4  0  2  4  1  1  2  1  2  4  1  1
 0  2  0  0  0  0  0  0  0  2  6  6  2  6  2  6  2  6  2  4  2  2  4  6  4  0  0  2  2  6  4  0  0  2  0  0
 0  0  2  0  0  0  2  6  2  0  0  4  2  6  6  2  0  0  4  2  0  4  2  2  4  4  4  2  0  6  2  0  0  2  2  0
 0  0  0  2  0  2  2  6  0  2  2  4  4  0  6  2  2  2  4  6  4  2  4  4  2  0  2  2  4  2  2  2  2  2  0  0
 0  0  0  0  2  2  0  6  2  4  6  6  4  2  6  0  0  6  0  2  6  0  4  2  6  2  0  2  0  4  4  6  0  6  2  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  0  0  4  4  4  4  4  0  4  0  4  0  0  0
 0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  4  4  4  0  0  0  0  0  0  4  0  4  0  4  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  4  4  0  4  4  4  4  4  4  4  4  0  4  4  4  4  4  4  4  0  0  4  0  4  0  4  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+60x^26+56x^27+238x^28+272x^29+586x^30+436x^31+1313x^32+564x^33+2361x^34+716x^35+3065x^36+716x^37+2517x^38+604x^39+1341x^40+428x^41+543x^42+220x^43+168x^44+68x^45+72x^46+16x^47+16x^48+3x^50+1x^52+1x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=144, k=14 and d=52.
This code was found by Heurico 1.16 in 6.72 seconds.