The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  6  1  4  1  2  1  1  1  1  0  1  1  6  0  1  1  1  2  1  1  4  1  0  1  1  1  6  1  1  1  6  1  1  6  1  1  1  4  6  1  1  1  1  0  1  0  1  0  6  1  1  2  1  1  2  1  2  4  2  6  1  1  1  1  1  1  0  1  0  0  2  1  0  0
 0  1  1  0  3  1  2  3  1  6  5  1  3  1  4  1  0  5  6  7  1  5  6  1  1  1  7  5  1  2  4  1  2  1  6  0  6  1  1  3  7  1  0  0  1  5  6  4  1  1  4  3  0  2  1  3  1  7  2  1  3  3  1  6  1  1  7  2  2  6  1  5  4  6  3  2  0  1  1  1  1  6  5  1  1
 0  0  2  6  0  6  2  6  2  0  4  4  4  2  2  6  0  0  2  6  0  2  0  4  4  6  2  4  2  2  6  6  6  4  0  4  0  0  6  4  6  0  4  2  2  0  0  6  2  0  4  0  4  2  4  2  6  2  2  0  4  4  4  6  0  0  2  2  2  6  2  4  4  4  2  0  0  4  6  2  6  6  2  4  4
 0  0  0  4  0  0  0  0  0  0  0  4  4  0  0  0  0  4  0  4  0  4  4  0  0  0  4  0  4  0  4  0  0  0  0  0  0  4  4  0  4  0  4  4  4  0  0  0  4  4  4  4  0  0  4  4  4  4  4  4  0  0  0  4  4  0  4  4  0  4  4  4  0  4  4  4  4  0  4  0  0  4  0  4  0
 0  0  0  0  4  0  0  0  0  0  4  0  4  0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  4  4  4  4  0  4  4  0  4  4  0  4  0  0  0  4  4  4  0  0  0  0  0  0  4  4  4  4  0  4  4  4  0  0  0  4  4  0  4  0  4  0  4  4  4  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  0  0  4  4  4  0  4  4  4  0  4  4  4  4  0  0  4  4  0  0  0  0  4  4  0  4  0  4  0  4  0  0  0  0  4  0  0  4  0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  4  0  0  0  4  4  4  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  0  4  0  0  4  4  4  4  4  4  0  4  4  0  4  0  0  4  4  4  4  4  0  4  0  0  0  4  0  0  4  4  0  0  4  0  0  0  0  0  4  4  4  4  0  0  0  0  4  0  4  4  4  4  0  0  0  4  4  4  0  0  4  4  4  4  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  0  4  4  0  4  0  0  0  4  0  4  0  0  0  4  4  4  4  0  0  4  0  4  4  4  4  4  4  0  0  4  0  4  4  0  4  4  4  0  4  0  4  4  4  0  4  0  4  4  0  4  0  4  0  4  4  4  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  4  4  0  4  0  0  4  4  4  0  0  0  0  4  0  4  0  0  4  0  4  4  0  0  0  4  0  0  4  0  0  0  4  4  0  4  4  0  4  4  4  0  4  4  0  4  4  4  4  4  0  0  4  0  0  4  0  4  0  0  4  4  0  4  4  0  4
 0  0  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  0  0  0  4  4  4  4  4  0  4  4  4  0  0  4  4  0  0  4  4  4  4  4  0  0  0  4  4  0  0  4  4  0  0  0  0  0  0  0  4  4  0  0  0  0  4  0  4  0  4  4  0  4  0  0  0  4  4  0  0  4  4  4  4  4  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+137x^72+298x^74+76x^75+916x^76+264x^77+1396x^78+520x^79+2219x^80+1004x^81+3294x^82+1480x^83+4086x^84+1536x^85+3896x^86+1408x^87+3508x^88+1064x^89+2238x^90+524x^91+1451x^92+216x^93+556x^94+88x^95+335x^96+12x^97+90x^98+97x^100+8x^102+39x^104+9x^108+1x^112+1x^116

The gray image is a code over GF(2) with n=340, k=15 and d=144.
This code was found by Heurico 1.16 in 65.3 seconds.