The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+141x^26+254x^27+423x^28+712x^29+1352x^30+2116x^31+3489x^32+5216x^33+6654x^34+8096x^35+8482x^36+8052x^37+6820x^38+5228x^39+3601x^40+2212x^41+1317x^42+642x^43+359x^44+180x^45+92x^46+48x^47+28x^48+12x^49+8x^50+1x^56

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 77.1 seconds.