The generator matrix

 1  0  0  1  1  1  2  1  4  1  0  1  1  6  1  2  1  2  1  0  1  6  1  1  2  1  1  6  2  1  1  1  1  0  0  1
 0  1  0  1  0  1  1  0  4  1  1  5  4  1  6  0  3  1  6  1  3  1  6  5  4  5  4  1  4  3  6  5  2  2  0  0
 0  0  1  1  1  0  1  2  1  1  2  0  1  1  3  1  6  4  2  5  1  7  7  6  1  3  3  4  1  3  6  0  2  2  1  0
 0  0  0  2  0  0  0  6  6  6  0  6  4  4  2  4  0  2  0  0  4  4  2  6  6  2  2  2  0  0  4  0  0  2  0  0
 0  0  0  0  2  0  0  4  0  6  6  2  6  4  2  6  0  4  6  6  0  2  0  0  4  6  6  2  6  2  0  0  2  6  2  0
 0  0  0  0  0  2  0  0  0  0  4  6  6  2  2  4  4  2  2  6  2  4  0  6  2  6  0  6  0  4  4  2  6  0  2  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  4  4  0  4  4  4  0  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+68x^26+150x^27+392x^28+686x^29+1308x^30+2220x^31+3508x^32+5242x^33+6719x^34+7962x^35+8747x^36+8238x^37+6799x^38+5262x^39+3542x^40+2238x^41+1192x^42+632x^43+370x^44+108x^45+100x^46+30x^47+13x^48+5x^50+3x^52+1x^54

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 58.1 seconds.