The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+84x^24+162x^26+28x^27+651x^28+120x^29+1316x^30+616x^31+2472x^32+1304x^33+2932x^34+1248x^35+2472x^36+616x^37+1320x^38+152x^39+618x^40+8x^41+154x^42+4x^43+91x^44+4x^46+9x^48+2x^52

The gray image is a code over GF(2) with n=136, k=14 and d=48.
This code was found by Heurico 1.16 in 4.16 seconds.