The generator matrix

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

generates a code of length 72 over Z8 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+87x^62+320x^63+633x^64+980x^65+1398x^66+1780x^67+1999x^68+2346x^69+2550x^70+2796x^71+2875x^72+2944x^73+2906x^74+2308x^75+2126x^76+1524x^77+1045x^78+952x^79+494x^80+288x^81+188x^82+96x^83+57x^84+42x^85+14x^86+4x^87+5x^88+4x^89+4x^90+2x^92

The gray image is a code over GF(2) with n=288, k=15 and d=124.
This code was found by Heurico 1.16 in 38.5 seconds.