The generator matrix

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

generates a code of length 84 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+4x^39+15x^40+2x^41+14x^42+16x^43+19x^44+26x^45+42x^46+46x^47+42x^48+86x^49+128x^50+134x^51+170x^52+222x^53+251x^54+290x^55+307x^56+342x^57+386x^58+472x^59+447x^60+570x^61+535x^62+500x^63+635x^64+572x^65+527x^66+392x^67+334x^68+272x^69+172x^70+184x^71+190x^72+240x^73+263x^74+304x^75+620x^76+812x^77+1226x^78+1676x^79+2522x^80+3616x^81+4778x^82+5614x^83+5542x^84+5554x^85+4648x^86+3594x^87+2676x^88+1824x^89+1236x^90+680x^91+560x^92+404x^93+256x^94+210x^95+180x^96+210x^97+220x^98+204x^99+325x^100+396x^101+446x^102+582x^103+670x^104+580x^105+600x^106+460x^107+414x^108+490x^109+393x^110+358x^111+287x^112+290x^113+265x^114+218x^115+206x^116+144x^117+83x^118+100x^119+54x^120+32x^121+20x^122+18x^123+29x^124+14x^125+15x^126+8x^127+8x^128+6x^129+6x^130+2x^132+1x^134+1x^136+1x^146

The gray image is a code over GF(2) with n=336, k=16 and d=78.
This code was found by Heurico 1.16 in 98.2 seconds.