The generator matrix

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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+179x^26+124x^27+891x^28+864x^29+2529x^30+3080x^31+5692x^32+6136x^33+9016x^34+8096x^35+9214x^36+6520x^37+5906x^38+2872x^39+2472x^40+808x^41+755x^42+164x^43+151x^44+8x^45+45x^46+9x^48+2x^50+2x^56

The gray image is a code over GF(2) with n=140, k=16 and d=52.
This code was found by Heurico 1.16 in 70.2 seconds.