The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1  6  1  1  6 12  1  1  0  2  6  0  4 12 10 10  1  1  1  1  1  1  1  1  0 10 12  1  1  1  1  8 10  1  1  1  1  1  6  4 12 10  1  1  1  1
 0  1 11 14  5  1  7 12  1  2  9  1  8  3  1  6 13  1 15 10  1  1  4  1  1  1  1  1  1  1  1  1  0  0  6 10 10 12  6 12  2  1  1  4  6 12  2  1  1  2  2 12  4  0  1  2  1  1 11  7  5  8
 0  0 12  4  8 12 12  0  0  4  8 12  4  8 12  0 12  0  8  0  4  0  4 12  0  4  8 12  4  4  0  8  0  4  8 12  0  8  4 12  4 12 12 12  0  8  4  4  8  8 12  4  0 12  0  8  8  4  4 12  0  4
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  8  0  8  8  8  0  0  8  0  8  0  8  8  8  0  0  0  8  0  8  0  8  0  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  8  0  8  0

generates a code of length 62 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+92x^58+248x^59+260x^60+360x^61+234x^62+310x^63+187x^64+196x^65+102x^66+34x^67+16x^68+2x^69+2x^73+3x^74+1x^98

The gray image is a code over GF(2) with n=496, k=11 and d=232.
This code was found by Heurico 1.16 in 0.215 seconds.