The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+6x^41+20x^42+26x^43+51x^44+58x^45+107x^46+138x^47+170x^48+284x^49+342x^50+606x^51+448x^52+848x^53+479x^54+918x^55+528x^56+966x^57+376x^58+670x^59+256x^60+338x^61+153x^62+208x^63+75x^64+102x^65+98x^66+152x^67+202x^68+554x^69+769x^70+1356x^71+2152x^72+2660x^73+4238x^74+4110x^75+5865x^76+4700x^77+5930x^78+4118x^79+4362x^80+2758x^81+2104x^82+1370x^83+694x^84+512x^85+245x^86+152x^87+79x^88+122x^89+83x^90+192x^91+176x^92+352x^93+299x^94+646x^95+364x^96+872x^97+447x^98+1002x^99+547x^100+882x^101+438x^102+550x^103+295x^104+322x^105+200x^106+154x^107+90x^108+44x^109+41x^110+10x^111+22x^112+4x^113+11x^114+6x^115+7x^116+3x^118+1x^122

The gray image is a code over GF(2) with n=308, k=16 and d=82.
This code was found by Heurico 1.16 in 100 seconds.