The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^62+116x^63+604x^64+896x^65+1547x^66+1804x^67+2150x^68+2048x^69+2096x^70+1804x^71+1475x^72+896x^73+503x^74+116x^75+85x^76+41x^78+26x^80+22x^82+8x^84+5x^86+1x^88+1x^92+1x^96

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 4.23 seconds.