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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+33x^72+60x^73+48x^74+48x^75+98x^76+158x^77+158x^78+136x^79+95x^80+58x^81+44x^82+40x^83+26x^84+10x^85+5x^86+3x^88+2x^89+1x^150

The gray image is a code over GF(2) with n=312, k=10 and d=144.
This code was found by Heurico 1.16 in 0.277 seconds.