The generator matrix

 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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  0  1  2  1  4  1  4  4  0  2  2  2  4  2  2  0  1  1  0  0  0  1  1  1  1  2  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  4  4  0  0  4  0  0  0  4  4  6  6  2  6  6  2  2  6  6  6  6  2  4  2  2  6  4  6  6  2  0  6  2  4  6  0  6  2  6  0  0  4  2  4  2  2  0  2  2  0  4  2  6  6  6  4  0  4  2  6  0  2  0  2  2  6  4  6  0  2  0
 0  0  2  0  0  0  0  0  0  0  2  2  6  6  6  4  6  2  4  6  4  6  4  4  6  6  0  4  2  4  0  4  2  4  2  0  6  6  0  2  4  2  0  2  6  0  0  2  2  6  0  6  0  6  6  6  2  6  6  6  2  6  2  4  0  0  6  4  4  0  6  4  0  0  2  2  2  2  4  0  0  6  0  0
 0  0  0  2  0  0  0  2  6  2  4  2  2  0  2  0  2  0  6  6  4  4  0  2  4  2  6  0  0  2  6  6  4  0  6  4  4  4  4  2  6  0  4  2  6  4  0  4  4  2  4  6  2  4  6  6  6  2  6  4  2  4  2  2  4  6  6  2  2  4  0  2  6  2  6  2  4  2  0  0  4  4  4  0
 0  0  0  0  2  0  2  2  2  4  4  4  4  2  6  2  6  2  6  4  4  4  4  0  2  0  0  4  2  2  0  6  0  2  4  6  2  4  6  2  6  4  2  0  6  0  4  6  2  4  4  6  4  6  4  0  6  2  4  0  6  0  0  6  4  6  0  6  2  4  2  4  0  4  4  6  6  2  4  6  0  6  6  6
 0  0  0  0  0  2  2  0  2  6  2  0  2  0  2  4  4  2  4  4  2  0  4  4  4  2  2  2  6  0  6  0  6  6  4  6  6  4  4  6  2  4  6  2  2  6  0  2  0  0  0  2  0  6  0  6  0  4  6  2  0  6  0  0  4  0  4  0  0  2  6  4  2  4  4  4  0  4  2  2  6  6  0  2
 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  4  4  4  4  4  4  4  4  4  4  4  4  4  4  4  4  4  0  4  4  4  0  0  4  4  4  4  4  4  0  4  4  0  0  4  4  4  4  4  4  4  4  4  0  0  4
 0  0  0  0  0  0  0  4  4  0  0  0  0  4  4  4  0  0  0  4  4  4  4  4  0  0  0  0  4  4  4  0  0  4  0  4  0  4  0  0  4  0  4  4  0  4  0  4  0  0  0  4  4  4  4  0  4  4  0  4  0  4  0  0  4  4  0  0  4  4  0  4  0  0  0  0  4  0  0  4  0  0  0  0

generates a code of length 84 over Z8 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+78x^70+116x^71+239x^72+334x^73+446x^74+582x^75+685x^76+710x^77+1036x^78+1288x^79+1742x^80+2246x^81+2480x^82+2896x^83+2949x^84+2958x^85+2541x^86+2256x^87+1737x^88+1364x^89+1092x^90+740x^91+623x^92+412x^93+408x^94+246x^95+170x^96+144x^97+93x^98+62x^99+37x^100+24x^101+17x^102+6x^103+6x^104+2x^108+1x^112+1x^130

The gray image is a code over GF(2) with n=336, k=15 and d=140.
This code was found by Heurico 1.16 in 88.5 seconds.