The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  0  1  1  1  1  1  1  0  1  2  1  2  2  1  1
 0  2  0  6  0  6  0  6  4  6  0  6  0  6  6  0  6  4  2  2  4  6  2  6  2  0  2  0  6  4  6  6  6  0
 0  0  4  0  0  0  0  0  4  0  0  0  4  0  4  4  4  0  4  0  0  4  4  4  4  0  4  0  4  4  0  4  0  0
 0  0  0  4  0  0  0  4  0  0  0  4  0  4  4  4  0  4  0  0  0  0  4  4  0  4  4  4  0  0  4  0  4  4
 0  0  0  0  4  0  0  0  0  4  4  4  0  0  4  4  0  4  0  4  0  4  0  4  0  0  4  0  4  0  0  4  4  4
 0  0  0  0  0  4  0  4  0  4  4  0  4  4  4  4  0  0  4  0  4  4  0  0  0  4  4  0  0  0  4  4  4  0
 0  0  0  0  0  0  4  0  4  0  4  4  0  4  0  4  4  4  0  0  4  4  0  0  0  4  0  0  4  0  4  4  0  0

generates a code of length 34 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+35x^28+108x^30+224x^32+306x^34+216x^36+90x^38+29x^40+6x^42+5x^44+2x^46+1x^48+1x^56

The gray image is a code over GF(2) with n=136, k=10 and d=56.
This code was found by Heurico 1.16 in 0.0414 seconds.