The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  1  1  1  0  1  1  1  2  1  2  1  1  4  0  2  1  1
 0  2  0  2  0  0  2  6  0  4  2  6  0  6  4  2  2  2  4  0  0  2  0  4  6  6  2  6  2  2  2  2  6  6  0
 0  0  2  2  0  6  2  0  4  2  2  0  4  6  2  2  2  6  2  0  4  4  6  0  0  0  2  0  6  4  2  0  0  4  0
 0  0  0  4  0  0  0  4  4  4  0  0  4  4  0  4  4  4  4  4  4  0  4  0  4  0  4  0  4  0  0  4  4  4  0
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  4  0  4  4  4  0  4  0  4  4  0  0  4  4  0  4  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  4  4  4  4  0  0  4  4  0  0  4  4  4  4  4  4  0  0  0  4  4  0  4  0  0  0
 0  0  0  0  0  0  4  4  4  4  4  0  4  0  0  0  4  4  0  0  0  0  0  4  0  4  4  0  4  4  0  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+22x^28+50x^29+86x^30+116x^31+161x^32+210x^33+266x^34+294x^35+237x^36+202x^37+142x^38+90x^39+68x^40+46x^41+14x^42+10x^43+20x^44+4x^45+4x^46+2x^47+2x^48+1x^52

The gray image is a code over GF(2) with n=140, k=11 and d=56.
This code was found by Heurico 1.16 in 0.124 seconds.