The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2  2  2  0  1  1  1  1  0  1  1  2
 0  2  0  0  0  0  0  0  0  0  2  4  6  2  2  4  0  6  6  2  4  4  4  2  0  6  0  6  2  4  2  0  2  0  4
 0  0  2  0  0  0  2  6  2  4  2  4  2  0  2  6  2  0  4  6  2  2  4  6  6  6  4  2  4  6  2  2  4  2  0
 0  0  0  2  0  2  2  2  4  6  0  6  4  0  2  2  6  6  6  0  0  4  2  6  6  2  2  4  4  4  6  4  4  4  2
 0  0  0  0  2  2  4  6  2  0  0  6  6  2  6  2  4  2  4  0  2  0  6  2  6  0  4  6  2  4  2  0  4  6  4
 0  0  0  0  0  4  4  4  0  4  4  0  4  0  0  4  0  0  4  0  4  0  0  4  0  0  0  0  0  4  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+120x^28+283x^30+48x^31+471x^32+256x^33+664x^34+416x^35+720x^36+256x^37+439x^38+48x^39+211x^40+111x^42+44x^44+6x^46+1x^50+1x^56

The gray image is a code over GF(2) with n=140, k=12 and d=56.
This code was found by Heurico 1.16 in 0.441 seconds.