The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+14x^29+38x^30+46x^32+70x^33+256x^34+42x^37+21x^38+14x^40+2x^41+4x^46+3x^48+1x^54

The gray image is a code over GF(2) with n=136, k=9 and d=58.
This code was found by Heurico 1.16 in 25.3 seconds.