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

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

Homogenous weight enumerator: w(x)=1x^0+39x^70+46x^71+148x^72+118x^73+205x^74+342x^75+371x^76+474x^77+587x^78+710x^79+866x^80+1062x^81+1294x^82+1342x^83+1327x^84+1344x^85+1155x^86+1052x^87+906x^88+778x^89+568x^90+458x^91+331x^92+274x^93+167x^94+126x^95+99x^96+42x^97+52x^98+18x^99+33x^100+4x^101+18x^102+2x^103+10x^104+7x^106+2x^108+2x^110+2x^112+2x^114

The gray image is a code over GF(2) with n=336, k=14 and d=140.
This code was found by Heurico 1.16 in 24.5 seconds.