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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+73x^72+86x^73+216x^74+228x^75+361x^76+366x^77+758x^78+524x^79+1232x^80+706x^81+2070x^82+800x^83+3355x^84+938x^85+4267x^86+920x^87+4129x^88+900x^89+3424x^90+860x^91+2215x^92+692x^93+1175x^94+532x^95+673x^96+314x^97+267x^98+192x^99+186x^100+82x^101+86x^102+40x^103+44x^104+10x^105+22x^106+10x^108+2x^109+1x^110+8x^112+1x^114+1x^116+1x^118

The gray image is a code over GF(2) with n=348, k=15 and d=144.
This code was found by Heurico 1.16 in 92.9 seconds.