The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^72+110x^73+240x^74+320x^75+452x^76+980x^77+718x^78+1410x^79+1212x^80+2478x^81+1517x^82+3086x^83+1957x^84+3706x^85+1945x^86+3134x^87+1537x^88+2538x^89+1232x^90+1420x^91+636x^92+792x^93+371x^94+302x^95+194x^96+138x^97+81x^98+54x^99+49x^100+10x^101+27x^102+2x^103+15x^104+10x^106+2x^108+3x^110+1x^112

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 64.4 seconds.