The generator matrix

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

generates a code of length 72 over Z8 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+360x^63+592x^64+1154x^65+1304x^66+1860x^67+1983x^68+2368x^69+2579x^70+2880x^71+2702x^72+3166x^73+2456x^74+2378x^75+1918x^76+1804x^77+1050x^78+976x^79+535x^80+348x^81+186x^82+86x^83+39x^84+24x^85+7x^86+4x^87+6x^88+2x^90

The gray image is a code over GF(2) with n=288, k=15 and d=126.
This code was found by Heurico 1.16 in 40.3 seconds.