The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+163x^28+264x^29+796x^30+716x^31+1503x^32+1472x^33+2118x^34+2116x^35+2247x^36+1704x^37+1552x^38+724x^39+579x^40+144x^41+174x^42+28x^43+78x^44+5x^48

The gray image is a code over GF(2) with n=140, k=14 and d=56.
This code was found by Heurico 1.16 in 4.28 seconds.