The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+239x^28+212x^29+694x^30+664x^31+1659x^32+1312x^33+2510x^34+1752x^35+2587x^36+1352x^37+1634x^38+648x^39+706x^40+192x^41+154x^42+8x^43+43x^44+4x^45+10x^48+3x^52

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 4.35 seconds.