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

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

Homogenous weight enumerator: w(x)=1x^0+20x^40+40x^41+34x^42+56x^43+131x^44+120x^45+164x^46+272x^47+419x^48+416x^49+354x^50+516x^51+675x^52+608x^53+552x^54+532x^55+532x^56+652x^57+446x^58+428x^59+421x^60+292x^61+204x^62+96x^63+90x^64+128x^65+94x^66+272x^67+233x^68+872x^69+864x^70+2114x^71+2406x^72+4694x^73+4072x^74+6488x^75+5104x^76+6268x^77+4312x^78+4336x^79+2304x^80+2392x^81+894x^82+840x^83+232x^84+268x^85+84x^86+106x^87+112x^88+182x^89+178x^90+244x^91+342x^92+448x^93+484x^94+460x^95+600x^96+680x^97+570x^98+628x^99+582x^100+568x^101+424x^102+372x^103+396x^104+248x^105+166x^106+144x^107+94x^108+60x^109+44x^110+16x^111+24x^112+8x^113+8x^114+2x^116+4x^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 99.7 seconds.