The generator matrix

 1  0  0  0  0  1  1  1  2  0  4  4  0  1  1  1  1  1  1  2  4  1  4  2  1  1  1  1  6  2  2  1  0  1  1
 0  1  0  0  0  0  1  1  1  2  0  4  1  7  1  2  7  0  2  6  1  0  1  1  6  5  6  3  1  1  6  4  1  0  0
 0  0  1  0  0  0  4  0  0  1  1  1  5  3  7  6  7  5  3  4  6  3  6  3  6  2  0  0  4  1  4  6  3  7  0
 0  0  0  1  0  1  0  1  3  4  1  3  3  2  3  5  2  2  7  1  7  5  2  7  5  0  6  5  4  4  1  5  4  3  7
 0  0  0  0  1  1  3  2  1  1  6  5  7  3  2  0  4  1  2  1  4  5  7  0  2  4  1  5  6  0  4  0  2  1  1
 0  0  0  0  0  4  4  0  4  4  0  4  4  4  0  0  0  0  4  0  4  0  0  0  4  4  0  0  4  4  4  0  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+184x^27+600x^28+1328x^29+2363x^30+3500x^31+5139x^32+7020x^33+8088x^34+8496x^35+8486x^36+7346x^37+5430x^38+3608x^39+2050x^40+1034x^41+496x^42+200x^43+106x^44+38x^45+7x^46+12x^47+2x^48+2x^49

The gray image is a code over GF(2) with n=140, k=16 and d=54.
This code was found by Heurico 1.11 in 24.6 seconds.