The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+16x^33+13x^34+4x^35+7x^36+24x^37+13x^38+12x^39+26x^40+44x^41+27x^42+58x^43+45x^44+104x^45+101x^46+144x^47+193x^48+204x^49+337x^50+354x^51+439x^52+400x^53+511x^54+508x^55+551x^56+642x^57+575x^58+536x^59+469x^60+398x^61+341x^62+338x^63+200x^64+164x^65+164x^66+84x^67+48x^68+60x^69+28x^70+26x^71+27x^72+48x^73+74x^74+100x^75+160x^76+256x^77+334x^78+542x^79+860x^80+1148x^81+2060x^82+3668x^83+5086x^84+6534x^85+7474x^86+6476x^87+5034x^88+3544x^89+2018x^90+1306x^91+816x^92+508x^93+358x^94+252x^95+166x^96+104x^97+94x^98+56x^99+26x^100+24x^101+28x^102+52x^103+52x^104+90x^105+127x^106+158x^107+262x^108+296x^109+334x^110+414x^111+472x^112+558x^113+546x^114+632x^115+590x^116+560x^117+486x^118+400x^119+403x^120+300x^121+330x^122+206x^123+212x^124+158x^125+95x^126+106x^127+78x^128+38x^129+26x^130+50x^131+22x^132+18x^133+16x^134+26x^135+8x^136+12x^137+4x^139+2x^140+4x^141+1x^142+1x^152+1x^154

The gray image is a code over GF(2) with n=344, k=16 and d=66.
This code was found by Heurico 1.16 in 99.9 seconds.