The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+4x^40+12x^41+14x^42+30x^43+48x^44+76x^45+126x^46+146x^47+188x^48+288x^49+342x^50+484x^51+561x^52+642x^53+721x^54+732x^55+766x^56+626x^57+566x^58+478x^59+395x^60+326x^61+243x^62+168x^63+82x^64+94x^65+75x^66+120x^67+176x^68+378x^69+662x^70+1142x^71+1861x^72+2690x^73+4173x^74+4964x^75+5364x^76+5972x^77+5482x^78+4970x^79+3998x^80+2696x^81+1996x^82+1124x^83+588x^84+398x^85+188x^86+108x^87+88x^88+72x^89+98x^90+160x^91+243x^92+312x^93+408x^94+502x^95+607x^96+650x^97+724x^98+796x^99+652x^100+658x^101+573x^102+414x^103+360x^104+284x^105+209x^106+124x^107+120x^108+70x^109+27x^110+42x^111+12x^112+12x^113+11x^114+8x^115+13x^116+2x^118+1x^120

The gray image is a code over GF(2) with n=308, k=16 and d=80.
This code was found by Heurico 1.16 in 100 seconds.