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

generates a code of length 80 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+14x^40+12x^41+28x^42+22x^43+63x^44+90x^45+127x^46+218x^47+255x^48+342x^49+462x^50+588x^51+716x^52+738x^53+769x^54+754x^55+663x^56+654x^57+486x^58+388x^59+277x^60+188x^61+151x^62+76x^63+58x^64+24x^65+30x^66+12x^67+32x^68+56x^69+99x^70+182x^71+389x^72+650x^73+1288x^74+1532x^75+3062x^76+3352x^77+5788x^78+4334x^79+7392x^80+4804x^81+5712x^82+2970x^83+3076x^84+1720x^85+1322x^86+650x^87+364x^88+162x^89+112x^90+48x^91+31x^92+12x^93+22x^94+24x^95+63x^96+56x^97+128x^98+188x^99+308x^100+402x^101+471x^102+640x^103+691x^104+810x^105+822x^106+758x^107+636x^108+538x^109+438x^110+348x^111+263x^112+194x^113+148x^114+86x^115+58x^116+36x^117+21x^118+6x^119+15x^120+4x^121+8x^122+5x^124+4x^125

The gray image is a code over GF(2) with n=320, k=16 and d=80.
This code was found by Heurico 1.16 in 98.8 seconds.