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

generates a code of length 85 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+153x^72+282x^74+44x^75+642x^76+60x^77+716x^78+252x^79+1229x^80+404x^81+1348x^82+824x^83+1805x^84+920x^85+1654x^86+760x^87+1623x^88+552x^89+1154x^90+156x^91+769x^92+108x^93+376x^94+12x^95+303x^96+4x^97+96x^98+84x^100+6x^102+34x^104+11x^108+1x^112+1x^116

The gray image is a code over GF(2) with n=340, k=14 and d=144.
This code was found by Heurico 1.16 in 25.4 seconds.