The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+10x^34+22x^36+26x^37+48x^38+50x^39+83x^40+142x^41+204x^42+286x^43+262x^44+382x^45+454x^46+502x^47+578x^48+650x^49+662x^50+654x^51+625x^52+546x^53+489x^54+398x^55+383x^56+242x^57+152x^58+130x^59+80x^60+50x^61+26x^62+34x^63+31x^64+32x^65+56x^66+106x^67+115x^68+250x^69+457x^70+898x^71+1504x^72+2366x^73+3766x^74+5278x^75+6276x^76+6762x^77+6510x^78+5184x^79+3824x^80+2410x^81+1372x^82+952x^83+500x^84+208x^85+122x^86+106x^87+44x^88+22x^89+19x^90+50x^91+35x^92+70x^93+102x^94+100x^95+179x^96+222x^97+358x^98+428x^99+459x^100+534x^101+608x^102+610x^103+653x^104+696x^105+626x^106+540x^107+479x^108+372x^109+222x^110+260x^111+189x^112+130x^113+94x^114+72x^115+50x^116+16x^117+26x^118+2x^119+11x^120+1x^122+1x^132

The gray image is a code over GF(2) with n=308, k=16 and d=68.
This code was found by Heurico 1.16 in 98.3 seconds.