The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+4x^33+11x^34+2x^35+24x^36+46x^37+19x^38+56x^39+79x^40+76x^41+136x^42+144x^43+178x^44+216x^45+282x^46+414x^47+458x^48+450x^49+482x^50+570x^51+594x^52+618x^53+606x^54+534x^55+426x^56+380x^57+397x^58+300x^59+217x^60+176x^61+111x^62+110x^63+106x^64+92x^65+112x^66+192x^67+261x^68+376x^69+670x^70+924x^71+1688x^72+2608x^73+3604x^74+5146x^75+5866x^76+6066x^77+5992x^78+4896x^79+3696x^80+2480x^81+1602x^82+1176x^83+602x^84+364x^85+280x^86+186x^87+158x^88+84x^89+90x^90+90x^91+126x^92+174x^93+203x^94+280x^95+369x^96+440x^97+487x^98+596x^99+572x^100+548x^101+571x^102+534x^103+508x^104+468x^105+413x^106+324x^107+275x^108+282x^109+239x^110+156x^111+138x^112+100x^113+59x^114+60x^115+40x^116+14x^117+15x^118+14x^119+2x^121+3x^122+1x^124+1x^128

The gray image is a code over GF(2) with n=308, k=16 and d=66.
This code was found by Heurico 1.16 in 99.7 seconds.