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

generates a code of length 85 over Z8 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+54x^70+90x^71+174x^72+234x^73+359x^74+440x^75+606x^76+712x^77+930x^78+1148x^79+1516x^80+1774x^81+2100x^82+2382x^83+2399x^84+2740x^85+2592x^86+2466x^87+2128x^88+1828x^89+1483x^90+1198x^91+930x^92+672x^93+492x^94+360x^95+337x^96+206x^97+131x^98+90x^99+73x^100+20x^101+42x^102+16x^103+18x^104+6x^105+6x^106+2x^107+7x^108+2x^110+2x^112+1x^114+1x^124

The gray image is a code over GF(2) with n=340, k=15 and d=140.
This code was found by Heurico 1.16 in 89.9 seconds.