The generator matrix

 1  0  0  0  1  1  1  6  6  2  2  1  1  1  1  2  2  6  1  4  6  1  1  6  0  2  1  1  2  1  1  1  6  1  1
 0  1  0  0  0  1  1  1  1  1  6  0  2  5  5  1  1  4  5  1  1  3  6  1  2  4  1  4  1  4  7  3  1  1  0
 0  0  1  0  1  1  0  1  0  3  1  3  2  1  0  6  4  1  5  7  3  6  0  1  1  6  6  1  5  3  4  3  4  7  4
 0  0  0  1  1  0  1  1  3  2  7  0  3  1  4  7  6  0  6  1  4  6  2  0  3  1  3  6  5  7  6  3  6  3  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  4  4  0  0  4  4  4  0  0  0  4  4
 0  0  0  0  0  4  0  0  4  4  4  4  4  4  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  0  4  4  4  4
 0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  4  0  0  0  0  4  4  0  4  4  0  0  4  4  4  0  0  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+70x^27+236x^28+758x^29+1033x^30+2036x^31+2424x^32+3514x^33+4104x^34+4470x^35+3841x^36+3830x^37+2443x^38+2018x^39+1003x^40+590x^41+226x^42+108x^43+47x^44+12x^45+2x^47+1x^50+1x^58

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 13.8 seconds.