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  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  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  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  6  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  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  6  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  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  4  0  4  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  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  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  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  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  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  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  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  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

generates a code of length 70 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+40x^34+32x^35+66x^36+62x^37+151x^38+152x^39+291x^40+354x^41+511x^42+588x^43+803x^44+694x^45+802x^46+716x^47+618x^48+676x^49+424x^50+416x^51+226x^52+218x^53+109x^54+120x^55+41x^56+62x^57+29x^58+72x^59+113x^60+164x^61+318x^62+670x^63+1097x^64+1872x^65+2662x^66+3842x^67+5034x^68+5654x^69+6068x^70+5688x^71+4988x^72+3880x^73+2860x^74+1836x^75+960x^76+658x^77+336x^78+206x^79+92x^80+50x^81+35x^82+58x^83+41x^84+118x^85+98x^86+218x^87+221x^88+420x^89+461x^90+618x^91+701x^92+756x^93+757x^94+744x^95+710x^96+580x^97+553x^98+340x^99+307x^100+140x^101+130x^102+62x^103+55x^104+24x^105+33x^106+6x^107+13x^108+7x^110+6x^112+2x^113

The gray image is a code over GF(2) with n=280, k=16 and d=68.
This code was found by Heurico 1.16 in 98.7 seconds.