The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+149x^60+172x^61+667x^62+796x^63+1632x^64+1644x^65+2236x^66+1972x^67+2276x^68+1572x^69+1460x^70+868x^71+561x^72+132x^73+138x^74+12x^75+33x^76+25x^78+11x^80+18x^82+6x^84+3x^88

The gray image is a code over GF(2) with n=536, k=14 and d=240.
This code was found by Heurico 1.16 in 3.99 seconds.