The generator matrix

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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+73x^28+378x^29+609x^30+1002x^31+1331x^32+1862x^33+1858x^34+2206x^35+1852x^36+1894x^37+1254x^38+1046x^39+568x^40+266x^41+114x^42+34x^43+15x^44+16x^45+5x^46

The gray image is a code over GF(2) with n=140, k=14 and d=56.
This code was found by Heurico 1.11 in 1.83 seconds.