The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+4x^39+11x^40+42x^41+35x^42+52x^43+47x^44+92x^45+113x^46+206x^47+220x^48+356x^49+362x^50+512x^51+466x^52+570x^53+594x^54+662x^55+639x^56+634x^57+547x^58+386x^59+451x^60+328x^61+330x^62+144x^63+193x^64+78x^65+64x^66+60x^67+70x^68+134x^69+224x^70+508x^71+760x^72+1342x^73+2042x^74+2926x^75+3920x^76+4528x^77+5219x^78+5478x^79+5452x^80+4750x^81+3768x^82+2850x^83+2182x^84+1432x^85+718x^86+460x^87+186x^88+122x^89+82x^90+70x^91+66x^92+50x^93+146x^94+150x^95+285x^96+316x^97+511x^98+442x^99+606x^100+608x^101+623x^102+666x^103+655x^104+522x^105+465x^106+524x^107+274x^108+344x^109+210x^110+208x^111+128x^112+114x^113+57x^114+58x^115+22x^116+18x^117+15x^118+18x^119+5x^120+4x^121+3x^122+1x^128

The gray image is a code over GF(2) with n=316, k=16 and d=78.
This code was found by Heurico 1.16 in 99.4 seconds.