The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^27+300x^28+674x^29+1092x^30+1680x^31+2686x^32+3420x^33+4078x^34+4518x^35+4207x^36+3488x^37+2668x^38+1874x^39+1040x^40+468x^41+254x^42+128x^43+53x^44+14x^45+4x^46+6x^47+1x^56

The gray image is a code over GF(2) with n=140, k=15 and d=54.
This code was found by Heurico 1.16 in 43.2 seconds.