The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^24+240x^26+64x^27+1127x^28+448x^29+2392x^30+1344x^31+5143x^32+2240x^33+6456x^34+2240x^35+5245x^36+1344x^37+2504x^38+448x^39+1028x^40+64x^41+184x^42+121x^44+20x^48+3x^52

The gray image is a code over GF(2) with n=136, k=15 and d=48.
This code was found by Heurico 1.16 in 15.5 seconds.