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  2  2  2  2  2  1  1  2  1  1  2  1  8  2  1  2  4  2  1  1  1  2  2  2  1  1  8  1  4  1  2  2  1  1  1  1  2  1
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4  4  8  4  0 12 12  4  4  4 12  8  8  4 12  8  4 12 12  8  8  4 12 12 12  8  4  8  8  8 12  4 12  8  8  8 12  8  8  8  8  0 12  4  8  4  8  8  8  8  8  4  8  4  0
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4 12  0  8 12 12  4  4 12  8  0 12  0  4 12  0  8  0  8  4 12  8 12 12 12  8 12  8  0  8  0  0 12  0  8 12  4 12  0  8  0  4  8  4  8 12  0  0  4 12  0 12  0  8  0  0  8
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8 12 12  8  0  8 12 12 12  0  4  0  4  4  8  0 12  0  8 12  4  0  8  0 12  0  8  0  4 12  0  4  0  8  4  8 12  0  0  8 12  4 12  4  0  8  8  8  0  4  8  4  0  0  8  4  8
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4 12  4  0  4 12  0 12 12 12  8 12  4  0  8  0 12  0 12  4 12  8  8  8  0 12  8  4 12  0  4  4  0 12  4  8  8 12  8 12 12  0  8  8  0  8 12  8  8 12 12 12  4  4  0
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0  8  4  4  0  4 12 12 12  8  8 12  4  0 12  4  4  8  0  8 12 12  8  0 12  8  4 12  0  8  8  4  0 12  8  0  8  8  0 12  8  4  0  4 12  8  4  4  8 12 12  0  4 12 12 12  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+38x^62+72x^63+135x^64+250x^65+256x^66+302x^67+386x^68+456x^69+804x^70+1566x^71+2476x^72+2962x^73+2525x^74+1542x^75+845x^76+486x^77+325x^78+240x^79+173x^80+160x^81+115x^82+98x^83+69x^84+34x^85+29x^86+18x^87+11x^88+4x^89+3x^90+2x^91+1x^106

The gray image is a code over GF(2) with n=584, k=14 and d=248.
This code was found by Heurico 1.16 in 8.68 seconds.