The generator matrix

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

generates a code of length 51 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+90x^34+8x^35+208x^36+80x^37+410x^38+132x^39+811x^40+352x^41+1481x^42+716x^43+2144x^44+1332x^45+3470x^46+2752x^47+5179x^48+4360x^49+6688x^50+5088x^51+6706x^52+4404x^53+5087x^54+2748x^55+3545x^56+1336x^57+2226x^58+676x^59+1412x^60+356x^61+793x^62+160x^63+392x^64+64x^65+214x^66+8x^67+74x^68+4x^69+15x^70+8x^72+5x^74+1x^78

The gray image is a code over GF(2) with n=204, k=16 and d=68.
This code was found by Heurico 1.16 in 99 seconds.