The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  1  2  4  1  0  1  4  1  6  0  4  1  2  2  6  1  1  1  6  2  6  0  1  1  0  1  1  1  4  1  0  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  2  3  1  0  0  5  1  2  7  1  2  6  1  2  0  5  1  2  1  6  4  0  0  1  1  4  0  4  2  1  6  1  1  3  1  7  1  1  1  0  1  1  3  7  1  3  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  1  1  1  0  1  1  2  3  2  3  2  3  1  0  2  3  1  0  3  1  3  6  4  1  1  2  7  6  1  1  1  3  6  5  7  2  6  0  3  7  1  1  0  0  1  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  2  0  6  0  6  2  0  2  2  0  2  0  4  2  6  2  4  4  2  6  2  4  6  4  0  0  6  6  6  2  0  0  2  0  6  4  2  2  0  6  2  6  2  6  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  4  0  0  0  0  4  0  0  4  4  4  4  0  4  0  4  0  4  0  0  4  0  0  0  4  0  0  4  0  4  4  0  4  4  0  4  0  4  4  0  0  0  4  4  4  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  4  0  0  0  4  0  4  4  0  4  0  4  0  4  4  4  0  0  0  4  0  0  4  0  4  0  4  0  0  4  0  4  0  4  0  4  4  4  0  0  0  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  4  0  0  4  4  4  4  4  0  4  4  4  0  0  0  0  4  0  4  4  0  4  0  4  0  4  4  4  0  4  0  4  4  0  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  0  0  4  0  4  4  4  0  4  4  0  4  0  0  0  4  0  0  4  0  4  0  0  4  0  0  4  4  0  4  0  0  4  4  0  0  4  0  4  0  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  4  4  4  0  4  0  0  4  0  4  4  4  4  0  0  0  4  4  4  4  4  0  4  0  0  4  0  4  0  4  0  0  4  4  0  0  0  0  4  4  0  0  4  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 71 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+16x^40+20x^41+57x^42+100x^43+99x^44+214x^45+208x^46+330x^47+377x^48+920x^49+508x^50+852x^51+553x^52+1312x^53+491x^54+568x^55+381x^56+512x^57+233x^58+208x^59+142x^60+182x^61+292x^62+306x^63+910x^64+902x^65+2434x^66+2144x^67+4541x^68+3570x^69+7177x^70+4320x^71+7131x^72+3716x^73+4628x^74+2096x^75+2471x^76+854x^77+847x^78+344x^79+325x^80+146x^81+134x^82+294x^83+195x^84+324x^85+340x^86+900x^87+538x^88+822x^89+642x^90+1336x^91+509x^92+632x^93+313x^94+456x^95+162x^96+176x^97+106x^98+74x^99+73x^100+30x^101+20x^102+8x^103+6x^104+2x^105+2x^106+1x^108+2x^109+1x^112

The gray image is a code over GF(2) with n=284, k=16 and d=80.
This code was found by Heurico 1.16 in 99.7 seconds.