The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+29x^28+126x^29+421x^30+362x^31+857x^32+670x^33+1223x^34+798x^35+1344x^36+628x^37+844x^38+358x^39+310x^40+104x^41+64x^42+18x^43+19x^44+6x^45+7x^46+2x^49+1x^50

The gray image is a code over GF(2) with n=140, k=13 and d=56.
This code was found by Heurico 1.16 in 0.981 seconds.