The generator matrix

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

generates a code of length 84 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+151x^72+20x^73+94x^74+152x^75+388x^76+504x^77+278x^78+1220x^79+557x^80+1736x^81+396x^82+2512x^83+471x^84+2512x^85+396x^86+1736x^87+494x^88+1220x^89+278x^90+504x^91+312x^92+152x^93+94x^94+20x^95+109x^96+36x^100+31x^104+8x^108+1x^112+1x^116

The gray image is a code over GF(2) with n=336, k=14 and d=144.
This code was found by Heurico 1.16 in 17.8 seconds.