The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+272x^28+656x^29+1436x^30+1800x^31+2681x^32+3096x^33+4202x^34+4128x^35+4430x^36+3368x^37+2910x^38+1736x^39+1144x^40+488x^41+278x^42+80x^43+40x^44+8x^45+6x^46+6x^48+2x^52

The gray image is a code over GF(2) with n=140, k=15 and d=56.
This code was found by Heurico 1.16 in 14.5 seconds.