The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+396x^62+620x^63+1589x^64+1560x^65+3092x^66+2520x^67+4705x^68+3708x^69+6215x^70+4940x^71+6752x^72+4596x^73+6623x^74+4152x^75+4859x^76+2652x^77+2699x^78+1236x^79+1335x^80+452x^81+459x^82+160x^83+136x^84+24x^85+30x^86+4x^87+15x^88+6x^90

The gray image is a code over GF(2) with n=288, k=16 and d=124.
This code was found by Heurico 1.11 in 65.9 seconds.