The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+108x^72+56x^73+152x^74+64x^75+142x^76+52x^77+130x^78+36x^79+143x^80+16x^81+64x^82+24x^83+10x^84+4x^85+2x^86+4x^87+8x^88+4x^90+2x^92+1x^100+1x^132

The gray image is a code over GF(2) with n=308, k=10 and d=144.
This code was found by Heurico 1.16 in 0.202 seconds.