The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  4  2  4  2  4  2  0  0  1  1  1  0  1  1  4  0  1  1  4  1  1  2  1  2  2  1  2  1  1  1  1  1  2
 0  2  0  0  0  0  0  0  0  2  2  6  2  2  4  4  0  2  0  2  4  4  2  4  6  4  2  6  6  2  4  0  2  2  0  6  2  4  2  2  6  2  6  2  4  4  2  0  6  4  0  2  0  2  2  6  4  2  6  4  0  2  0  4  4  2  4  6  4  4  6  4
 0  0  2  0  0  0  2  6  2  4  2  2  0  2  4  6  4  6  0  0  6  2  6  4  0  0  6  0  6  0  2  4  0  4  6  2  0  0  6  6  2  2  0  4  4  4  6  4  6  2  2  2  2  4  4  2  6  2  0  6  2  2  4  6  0  4  6  4  6  6  0  2
 0  0  0  2  0  2  2  2  4  4  4  4  6  2  6  2  0  2  4  6  0  4  4  6  2  0  2  0  2  0  6  0  2  4  6  2  2  6  6  0  2  0  6  2  2  4  4  0  2  6  4  0  6  4  6  2  6  2  6  2  0  0  6  4  6  2  4  6  4  0  6  2
 0  0  0  0  2  2  0  2  6  2  0  2  4  2  6  0  4  0  2  2  4  6  4  0  0  2  0  6  6  2  4  6  6  4  2  0  2  6  4  4  0  4  2  4  2  2  6  4  4  4  2  6  6  6  4  6  0  2  4  2  6  2  6  6  2  4  0  4  6  6  6  6
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  0  0  0  4  4  0  4  0  0  4  4  4  4  4  4  0  0  4  0  0  4  0  0  4  0  4  0  0  0  4  0  0  4  4  0  4  0  0  0  4  4  4  4  4  4  4  4  0  4  4  4
 0  0  0  0  0  0  4  4  0  0  0  0  0  0  4  0  4  4  4  4  0  4  4  4  4  4  0  0  4  4  4  0  0  4  4  0  0  0  4  0  4  0  0  4  0  0  4  4  4  0  0  4  0  4  4  0  0  0  4  4  0  4  4  4  4  0  4  4  4  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+148x^62+388x^64+28x^65+531x^66+152x^67+708x^68+340x^69+920x^70+496x^71+946x^72+516x^73+847x^74+344x^75+661x^76+140x^77+406x^78+32x^79+283x^80+179x^82+70x^84+38x^86+14x^88+3x^90+1x^108

The gray image is a code over GF(2) with n=288, k=13 and d=124.
This code was found by Heurico 1.16 in 5.11 seconds.