The generator matrix

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

generates a code of length 76 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+6x^40+22x^41+32x^42+56x^43+98x^44+86x^45+191x^46+262x^47+274x^48+598x^49+442x^50+928x^51+584x^52+1034x^53+536x^54+926x^55+425x^56+656x^57+270x^58+346x^59+116x^60+152x^61+57x^62+44x^63+65x^64+68x^65+118x^66+180x^67+382x^68+718x^69+1194x^70+1994x^71+2571x^72+4104x^73+4332x^74+6212x^75+5240x^76+6252x^77+4332x^78+4190x^79+2664x^80+1992x^81+1182x^82+702x^83+352x^84+184x^85+110x^86+44x^87+48x^88+42x^89+80x^90+142x^91+160x^92+388x^93+242x^94+652x^95+348x^96+882x^97+577x^98+1066x^99+610x^100+916x^101+431x^102+576x^103+312x^104+288x^105+164x^106+96x^107+62x^108+46x^109+34x^110+16x^111+14x^112+4x^113+11x^114+4x^116+1x^118

The gray image is a code over GF(2) with n=304, k=16 and d=80.
This code was found by Heurico 1.16 in 99.3 seconds.