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  8  4  1  2  4  1  2  1  4  1  0 12  1  2  1  0  1  1  2  2  1  1  0  1  1  1  1  1  2  1  1  1  1  2  1  2  2  0  2
 0  2  0  0  0  2  6 14  8  8 14  6 12  2  8 10  6  2 12 12  0 10  6  4  2  6  4 12 14 12  0  0  4 10  0  6  8  2  2  8  2  2  0 10  4  2  2  6  2  2  2  4  2  8 12  8 14  0  4 12  2 10  4  2 12  6  2  0 10
 0  0  2  0  2  2 10  0 12 14  8  2 12  4  2  2 12  8 10 12  4  6  2  6  4  0 10  2  6  6  2  2  0 12  2  8 12  2  4  4 10  6 12  8 14  4  0  6 12 10 12 10  6 14  0 12  4  2  6  0  6 12 10  2  4  8 10  2  6
 0  0  0  2  2  8 10  2  4  0 14 12  2 12  6 14 12 14 10  0 10  2  0  8 14  8  0 12  2 14 10 10  2 12 12 10 14 12  0  6 10  8  8 10 12  2 12  4 14  0  8  2 12  4 12  0  0 12  0 10 14 14  8 14  0 14  6  8  8
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  0  8  0  0  8  8  0  8  0  8  0  0  8  0  0  8  0  0  8  0  8  0  8  8  0  0  0  8  0  0  8  8  0  0  0  8  8  8  0  0  0  8  8  8

generates a code of length 69 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+232x^62+404x^63+697x^64+964x^65+1428x^66+1564x^67+2260x^68+1780x^69+2122x^70+1444x^71+1317x^72+772x^73+526x^74+300x^75+249x^76+164x^77+86x^78+32x^79+33x^80+6x^82+2x^84+1x^100

The gray image is a code over GF(2) with n=552, k=14 and d=248.
This code was found by Heurico 1.16 in 5.47 seconds.