The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+209x^62+236x^63+752x^64+752x^65+1490x^66+1400x^67+2387x^68+2048x^69+2854x^70+2632x^71+3207x^72+2720x^73+2997x^74+2360x^75+2115x^76+1320x^77+1382x^78+604x^79+634x^80+192x^81+245x^82+64x^83+100x^84+8x^85+31x^86+18x^88+8x^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 43.5 seconds.