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  0  2  4  2  4  2  4  0  1  1  0  4  1  1  1  4  1  1  1  1  4  1  4  4  0  1  1  1  1  1  2  4  1
 0  2  0  0  0  0  0  0  0  0  4  2  6  2  4  0  2  2  2  2  0  6  6  6  6  6  0  4  2  6  2  4  0  6  2  4  0  4  2  2  2  4  4  4  0  2  2  2  6  0  2  4  4  0  2  4  0  0  2  2  6  4  2  4  0  2  0  4  6  0  0  6
 0  0  2  0  0  0  0  0  0  0  6  4  2  2  2  2  2  6  4  0  6  4  6  0  2  0  6  6  4  6  6  6  2  0  0  4  6  0  4  4  0  2  6  0  4  6  2  4  4  2  2  0  4  0  2  6  4  6  6  6  0  2  4  4  2  6  0  4  6  4  0  2
 0  0  0  2  0  0  4  6  2  2  2  6  4  2  2  0  0  6  2  0  4  4  6  2  0  4  2  2  6  4  2  0  0  0  6  6  0  4  6  4  4  4  2  2  6  4  2  4  2  6  2  6  0  0  6  4  0  2  0  2  4  4  4  2  6  2  4  0  0  6  2  2
 0  0  0  0  2  0  6  6  6  4  0  0  0  0  4  0  2  6  2  6  2  4  0  6  2  6  6  2  4  0  6  2  2  6  4  4  0  4  0  6  2  0  0  4  2  4  4  2  2  0  4  4  6  2  2  6  6  2  0  2  2  0  6  2  4  0  0  2  2  0  6  4
 0  0  0  0  0  2  2  4  6  2  0  0  0  0  6  2  6  6  4  0  2  2  2  6  0  2  2  4  2  6  0  4  2  2  2  4  4  0  2  2  0  6  4  2  0  4  0  2  0  4  4  2  4  6  2  6  4  6  2  2  0  4  0  6  4  2  2  0  2  2  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+24x^65+514x^66+164x^67+726x^68+320x^69+886x^70+532x^71+1050x^72+472x^73+778x^74+364x^75+652x^76+144x^77+408x^78+28x^79+285x^80+170x^82+84x^84+38x^86+12x^88+2x^90+1x^92+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 5.01 seconds.