The generator matrix

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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+4x^39+18x^40+2x^41+18x^42+6x^43+18x^44+12x^45+30x^46+28x^47+72x^48+82x^49+71x^50+124x^51+183x^52+170x^53+174x^54+278x^55+377x^56+398x^57+358x^58+434x^59+479x^60+502x^61+400x^62+512x^63+552x^64+472x^65+389x^66+382x^67+346x^68+282x^69+198x^70+176x^71+196x^72+112x^73+158x^74+154x^75+154x^76+172x^77+320x^78+486x^79+694x^80+1198x^81+1950x^82+2650x^83+3838x^84+4746x^85+5392x^86+6034x^87+5474x^88+4642x^89+3758x^90+2676x^91+1842x^92+1272x^93+802x^94+484x^95+330x^96+176x^97+154x^98+106x^99+134x^100+152x^101+187x^102+172x^103+220x^104+270x^105+307x^106+400x^107+445x^108+468x^109+513x^110+438x^111+432x^112+522x^113+468x^114+520x^115+390x^116+348x^117+333x^118+282x^119+164x^120+182x^121+186x^122+112x^123+91x^124+56x^125+60x^126+42x^127+45x^128+16x^129+20x^130+12x^131+11x^132+4x^133+3x^134+4x^136+6x^138+1x^144+1x^146+1x^148

The gray image is a code over GF(2) with n=348, k=16 and d=78.
This code was found by Heurico 1.16 in 98.6 seconds.