The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  4  1  1  2  1  2  6  1  2  4  1  6  6  1  1  0  1  2  6  1  1  1  1  4  4  1  1  1  1  2  1  2  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  0  1  3  6  0  2  1  1  5  6  1  5  1  1  3  4  5  3  2  1  3  6  7  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  2  0  0  6  6  0  0  0  2  2  2  2  2  2  2  4  2  4  4  2  2  0  2  6  6  4  4  6  2  0  2  0  2  0  2  2  0  6  2  2  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  2  0  6  6  2  6  0  2  0  2  4  2  0  6  0  0  0  4  0  2  6  6  0  4  0  2  6  4  6  0  2  6  6  6  2  4  6  6  0  2  0  2  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  2  6  6  2  0  2  2  0  0  6  2  4  0  4  6  4  0  4  4  6  0  2  2  4  4  4  6  4  6  6  6  0  0  4  2  4  2  6  6  0  2  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  0  4  0  0  4  0  0  0  0  4  0  4  0  4  0  4  4  4  0  0  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  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  0  0  4  4  0  0  4  4  0  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  0  4  0  4  0  4  0  4  4  0  4  0  4  4  0  4  4  0  0  4  0  4  0  0  0  0  4  4  0  0  0  4  0  4  0  0  0  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  0
 0  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  4  0  0  4  0  4  4  4  4  4  4  0  4  0  0  4  4  0  4  0  0  4  0  4  4  4  4  0  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 69 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+18x^34+14x^35+37x^36+52x^37+106x^38+124x^39+177x^40+286x^41+366x^42+542x^43+607x^44+698x^45+753x^46+716x^47+731x^48+658x^49+566x^50+508x^51+384x^52+310x^53+204x^54+110x^55+109x^56+74x^57+94x^58+136x^59+215x^60+356x^61+733x^62+1186x^63+1824x^64+2688x^65+3862x^66+4832x^67+5731x^68+5998x^69+5432x^70+5036x^71+3758x^72+2838x^73+1992x^74+1028x^75+705x^76+358x^77+206x^78+128x^79+101x^80+70x^81+99x^82+136x^83+191x^84+264x^85+406x^86+456x^87+647x^88+718x^89+677x^90+808x^91+689x^92+696x^93+602x^94+470x^95+375x^96+264x^97+219x^98+134x^99+87x^100+52x^101+46x^102+14x^103+13x^104+4x^105+3x^106+6x^107+2x^108

The gray image is a code over GF(2) with n=276, k=16 and d=68.
This code was found by Heurico 1.16 in 98.6 seconds.