The generator matrix

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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+34x^25+111x^26+334x^27+537x^28+1274x^29+1950x^30+3886x^31+4312x^32+7720x^33+7477x^34+10162x^35+7264x^36+8020x^37+4598x^38+3912x^39+1713x^40+1202x^41+563x^42+254x^43+119x^44+50x^45+20x^46+10x^47+5x^48+4x^49+1x^50+2x^51+1x^56

The gray image is a code over GF(2) with n=140, k=16 and d=50.
This code was found by Heurico 1.16 in 55 seconds.