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  1  1  1  4  1  0  2  2  4  2  4  4  2  0  2  0  2  1  0  1  1  4  1  4
 0  2  0  0  0  0  0  0  0  0  0  4  2  6  2  4  2  0  2  6  2  2  6  0  4  2  4  6  6  2  6  0  4  0  0  2  4  4  0  4  0  2  4  2  2  4  2  0  2  0  2  4  2  2  4  6  4  0  4  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  6  4  2  2  2  2  2  6  0  4  4  2  6  0  2  2  6  0  6  2  6  4  2  6  4  6  6  4  2  2  2  2  0  4  2  6  0  0  2  4  0  0  4  4  2  2  4  4  4  2  2
 0  0  0  2  0  0  0  2  6  2  4  2  6  4  2  2  0  0  6  4  2  6  4  4  4  6  0  6  0  0  2  4  2  2  6  4  0  4  0  6  2  6  2  0  2  0  2  0  6  0  0  2  6  0  2  4  2  0  6  0  6  6
 0  0  0  0  2  0  2  2  2  4  6  0  4  2  6  4  6  4  6  2  6  2  4  6  0  0  0  4  6  4  4  2  2  6  2  0  2  2  0  4  6  6  4  0  2  2  0  2  6  4  6  0  4  6  2  4  6  6  4  2  0  2
 0  0  0  0  0  2  2  4  6  2  0  0  0  4  4  6  6  6  2  2  2  0  6  0  4  0  6  2  6  0  2  4  2  0  2  2  6  2  6  4  2  0  6  0  6  2  6  6  2  6  6  2  2  4  0  4  6  4  2  0  6  0
 0  0  0  0  0  0  4  4  4  0  4  0  0  4  4  4  0  4  0  0  0  4  4  4  4  4  0  0  4  0  4  0  0  4  4  0  0  4  4  4  0  0  0  4  0  4  4  0  4  0  4  4  4  0  0  4  0  0  4  4  4  4

generates a code of length 62 over Z8 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+92x^51+144x^52+246x^53+312x^54+392x^55+538x^56+690x^57+845x^58+1202x^59+1413x^60+1416x^61+1738x^62+1626x^63+1462x^64+1146x^65+833x^66+674x^67+393x^68+356x^69+299x^70+214x^71+121x^72+108x^73+62x^74+24x^75+21x^76+6x^77+7x^78+2x^80+1x^92

The gray image is a code over GF(2) with n=248, k=14 and d=102.
This code was found by Heurico 1.16 in 15.9 seconds.