The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^62+36x^63+549x^64+244x^65+844x^66+620x^67+1235x^68+932x^69+1588x^70+1248x^71+1660x^72+1264x^73+1666x^74+964x^75+1102x^76+532x^77+792x^78+196x^79+335x^80+100x^81+190x^82+8x^83+87x^84+30x^86+22x^88+4x^90+1x^96

The gray image is a code over GF(2) with n=288, k=14 and d=124.
This code was found by Heurico 1.16 in 13.7 seconds.