The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  0  4  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  4  4  6  2  2  2  6  2  4  6  6  4  2  0  2  6  0  4  4  2  4  6  6  6  0
 0  0  2  0  0  0  0  0  0  0  2  2  6  0  4  4  6  6  6  6  6  4  4  0  4  6  0  2  0  2  2  0  4  6  0  0
 0  0  0  2  0  0  0  2  6  2  2  2  0  2  6  0  4  4  6  0  0  6  6  0  2  0  4  4  2  4  4  0  2  0  0  0
 0  0  0  0  2  0  2  2  2  4  4  0  0  0  0  4  2  2  4  2  0  2  0  4  2  6  6  6  0  0  6  0  2  6  2  0
 0  0  0  0  0  2  2  4  6  2  4  2  2  6  4  2  2  0  6  4  0  4  0  2  6  6  0  4  2  0  2  4  4  0  2  0
 0  0  0  0  0  0  4  4  4  0  0  0  0  0  0  0  4  0  4  0  4  0  4  4  0  0  4  0  4  4  4  4  4  4  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+72x^27+226x^28+266x^29+323x^30+378x^31+496x^32+708x^33+1388x^34+2626x^35+3225x^36+2708x^37+1381x^38+730x^39+451x^40+420x^41+369x^42+214x^43+201x^44+58x^45+60x^46+12x^47+8x^48+2x^50+1x^66

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 6.73 seconds.