The generator matrix

 1  0  0  0  1  1  1  2  1  1  6  0  2  1  1  4  1  0  1  1  1  0  1  2  0  6  1  1  4  0  1  1  6  2  1  1  1  2  4  1  6  1  4  2  1  1  4  1  6  1  0  6  1  0  1  2  6  1  1  0  4  0  1  0  6  1  1  1  2  1  1  1
 0  1  0  0  2  1  3  1  4  7  1  1  4  1  6  1  5  1  6  0  0  4  6  1  4  6  3  0  1  1  1  3  1  2  7  0  6  2  1  2  4  3  1  0  0  5  0  0  1  6  2  1  0  2  5  0  4  5  2  4  6  1  3  4  1  4  5  1  4  3  5  0
 0  0  1  0  0  0  0  4  5  5  7  5  1  7  5  0  2  3  5  1  2  1  4  3  1  0  2  2  6  4  7  0  3  1  4  3  0  1  4  1  6  3  7  1  7  1  6  2  5  7  1  2  4  1  6  0  2  4  5  1  1  2  3  1  1  0  4  6  2  6  5  0
 0  0  0  1  1  3  6  5  5  7  0  1  7  0  4  6  1  7  2  7  7  1  2  2  2  1  2  5  6  3  5  4  5  6  7  4  4  1  1  4  1  2  0  4  7  3  1  0  1  7  0  7  5  7  1  1  1  7  0  1  6  5  5  5  1  2  6  7  1  5  2  4
 0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  0  0  4  0  0  4  0  4  0  4  4  0  4  0  0  0  0  4  0  4  0  4  4  0  0  4  4  4  0  4  4  0  4  0  4  4  4  0  4  4  4  4  4  4  4  4  0  0  4  4  0  4  0  0  4
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  4  0  4  4  4  4  4  0  0  0  4  4  4  4  0  4  4  4  0  0  0  4  0  4  0  4  0  4  4  0  0  0  0  4  0  4  4  4  0  0  0  4  0  4  4  0  0
 0  0  0  0  0  0  4  4  0  4  4  4  0  4  0  4  4  0  4  4  4  4  4  0  0  4  4  4  0  0  4  4  0  4  0  0  0  0  4  4  0  4  4  4  4  0  0  4  4  0  0  4  0  0  0  0  4  0  0  4  0  4  0  4  0  0  0  0  0  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+90x^62+280x^63+714x^64+954x^65+1391x^66+1644x^67+2271x^68+2100x^69+2744x^70+2760x^71+3085x^72+2682x^73+2744x^74+2198x^75+2224x^76+1540x^77+1338x^78+828x^79+549x^80+250x^81+191x^82+92x^83+39x^84+24x^85+12x^86+4x^87+11x^88+2x^89+2x^90+2x^91+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 38.7 seconds.