The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+194x^62+220x^63+797x^64+720x^65+1544x^66+1376x^67+2305x^68+2176x^69+2786x^70+2632x^71+3297x^72+2724x^73+2940x^74+2248x^75+2131x^76+1340x^77+1424x^78+652x^79+589x^80+204x^81+250x^82+40x^83+114x^84+4x^85+38x^86+12x^88+6x^90+2x^92+2x^94

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 43.2 seconds.