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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+78x^27+161x^28+202x^29+270x^30+340x^31+512x^32+808x^33+1128x^34+1208x^35+1073x^36+868x^37+549x^38+348x^39+258x^40+152x^41+89x^42+74x^43+42x^44+18x^45+9x^46+3x^50+1x^56

The gray image is a code over GF(2) with n=140, k=13 and d=54.
This code was found by Heurico 1.16 in 2.02 seconds.