The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+10x^34+22x^35+39x^36+48x^37+105x^38+154x^39+242x^40+244x^41+347x^42+472x^43+560x^44+738x^45+764x^46+754x^47+705x^48+698x^49+593x^50+504x^51+367x^52+270x^53+189x^54+128x^55+142x^56+106x^57+151x^58+200x^59+344x^60+558x^61+982x^62+1708x^63+2820x^64+3914x^65+5131x^66+5834x^67+5928x^68+5886x^69+4876x^70+3944x^71+2846x^72+1692x^73+1095x^74+574x^75+330x^76+200x^77+125x^78+110x^79+147x^80+124x^81+219x^82+226x^83+357x^84+498x^85+619x^86+680x^87+678x^88+810x^89+692x^90+770x^91+639x^92+444x^93+355x^94+260x^95+208x^96+124x^97+105x^98+38x^99+27x^100+30x^101+17x^102+6x^103+2x^104+9x^106+1x^108+1x^112

The gray image is a code over GF(2) with n=272, k=16 and d=68.
This code was found by Heurico 1.16 in 98.5 seconds.