The generator matrix

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

generates a code of length 81 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+20x^39+7x^40+24x^41+17x^42+24x^43+42x^44+54x^45+95x^46+146x^47+157x^48+224x^49+248x^50+308x^51+348x^52+372x^53+565x^54+414x^55+619x^56+388x^57+775x^58+350x^59+758x^60+374x^61+693x^62+164x^63+400x^64+124x^65+238x^66+80x^67+110x^68+44x^69+121x^70+132x^71+218x^72+466x^73+742x^74+1424x^75+1828x^76+3156x^77+3538x^78+4998x^79+4812x^80+6150x^81+4912x^82+5194x^83+3610x^84+3026x^85+1742x^86+1316x^87+746x^88+564x^89+270x^90+116x^91+64x^92+74x^93+104x^94+64x^95+272x^96+108x^97+434x^98+210x^99+554x^100+276x^101+905x^102+366x^103+698x^104+416x^105+681x^106+440x^107+528x^108+368x^109+372x^110+308x^111+234x^112+200x^113+142x^114+142x^115+97x^116+88x^117+35x^118+30x^119+23x^120+16x^121+8x^122+8x^123+1x^124+1x^126+2x^127+1x^128+1x^130+1x^134

The gray image is a code over GF(2) with n=324, k=16 and d=78.
This code was found by Heurico 1.16 in 98.3 seconds.