The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^60+32x^61+402x^62+224x^63+993x^64+480x^65+1629x^66+576x^67+1594x^68+480x^69+971x^70+224x^71+395x^72+32x^73+64x^74+10x^76+2x^78+2x^80+3x^82+1x^84+1x^86+1x^88+1x^100

The gray image is a code over GF(2) with n=536, k=13 and d=240.
This code was found by Heurico 1.16 in 1.02 seconds.