The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^72+132x^73+127x^74+120x^75+117x^76+84x^77+95x^78+64x^79+66x^80+56x^81+21x^82+40x^83+27x^84+12x^85+9x^86+2x^88+2x^90+4x^97+2x^98+1x^104

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 0.196 seconds.