The generator matrix

 1  0  0  1  1  1  2  1  2  1  1  6  4  1  1  1  4  6  2  1  1  0  1  1  6  0  1  6  4  1  1  4  6  0  1
 0  1  0  0  1  3  1  6  1  7  4  1  2  3  2  1  1  1  2  5  0  1  4  3  6  1  6  1  6  4  1  1  0  1  7
 0  0  1  1  3  0  1  1  6  7  2  3  1  2  0  5  4  7  1  0  3  2  0  0  1  3  1  3  1  4  0  3  1  7  2
 0  0  0  2  2  6  0  2  4  2  0  4  4  2  6  0  6  2  6  4  0  2  2  0  0  6  4  6  2  2  2  4  6  6  2
 0  0  0  0  4  0  0  0  0  4  0  0  0  4  0  4  0  0  0  4  0  4  4  0  0  4  4  0  4  4  0  4  4  4  0
 0  0  0  0  0  4  0  4  4  4  4  4  4  0  0  0  4  4  4  0  4  4  0  0  4  0  0  0  0  0  4  0  0  4  4
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  0  0  0  4  0  4  4  4  4  4  4  4  4  0  0  0  4  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+215x^28+236x^29+668x^30+744x^31+1520x^32+1660x^33+2170x^34+1864x^35+2287x^36+1732x^37+1522x^38+696x^39+610x^40+212x^41+174x^42+24x^43+33x^44+10x^46+5x^48+1x^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 4.17 seconds.