The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^24+340x^26+2151x^28+6758x^30+14310x^32+18064x^34+14488x^36+6756x^38+2058x^40+332x^42+127x^44+6x^46+15x^48+2x^52

The gray image is a code over GF(2) with n=136, k=16 and d=48.
This code was found by Heurico 1.16 in 46.7 seconds.