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

generates a code of length 76 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+8x^34+24x^35+12x^36+46x^37+50x^38+54x^39+73x^40+130x^41+177x^42+196x^43+343x^44+374x^45+427x^46+550x^47+736x^48+614x^49+511x^50+688x^51+646x^52+572x^53+416x^54+406x^55+366x^56+238x^57+167x^58+112x^59+107x^60+64x^61+37x^62+18x^63+37x^64+68x^65+115x^66+156x^67+316x^68+566x^69+1010x^70+1748x^71+2641x^72+3988x^73+5038x^74+5786x^75+6312x^76+5780x^77+4990x^78+3980x^79+2654x^80+1714x^81+1062x^82+572x^83+304x^84+170x^85+78x^86+54x^87+61x^88+40x^89+53x^90+56x^91+85x^92+144x^93+177x^94+210x^95+391x^96+394x^97+398x^98+562x^99+698x^100+594x^101+508x^102+696x^103+634x^104+560x^105+405x^106+386x^107+357x^108+262x^109+181x^110+106x^111+107x^112+62x^113+56x^114+22x^115+12x^116+4x^117+6x^118+2x^119+3x^120+2x^122

The gray image is a code over GF(2) with n=304, k=16 and d=68.
This code was found by Heurico 1.16 in 99.5 seconds.