The generator matrix

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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+131x^24+64x^26+586x^28+748x^30+256x^31+2057x^32+1024x^33+2416x^34+1536x^35+2902x^36+1024x^37+1640x^38+256x^39+1193x^40+240x^42+254x^44+12x^46+41x^48+2x^52+1x^64

The gray image is a code over GF(2) with n=140, k=14 and d=48.
This code was found by Heurico 1.16 in 6.28 seconds.