The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^27+310x^28+722x^29+980x^30+2032x^31+2245x^32+3888x^33+3633x^34+4992x^35+3596x^36+3980x^37+2316x^38+1984x^39+984x^40+624x^41+230x^42+140x^43+30x^44+2x^45+8x^46+2x^48+1x^50

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 14.1 seconds.