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

generates a code of length 89 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+39x^72+41x^74+18x^75+175x^76+44x^77+183x^78+232x^79+327x^80+316x^81+450x^82+668x^83+711x^84+914x^85+1033x^86+1170x^87+1261x^88+1418x^89+1159x^90+1210x^91+921x^92+960x^93+694x^94+636x^95+430x^96+368x^97+307x^98+152x^99+157x^100+66x^101+144x^102+10x^103+48x^104+10x^105+48x^106+20x^108+23x^110+6x^112+11x^114+3x^118

The gray image is a code over GF(2) with n=356, k=14 and d=144.
This code was found by Heurico 1.16 in 28.2 seconds.