The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  6  1  1  0  1 12  1  1  1 10  1  1  0  1  1  6  1  1  1 10  1  1  1  1  1 12  1  0  1  1  6  1  1 12  1 12  1  1  1 12  1  1  0  1  1 10  1  1  0  0  1  0
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1  9  1 12 10 15  1  6  3  1  0 12  1 10  5 10  1  9  0 15  9  6  1  0  1  3 15  1 15  5  1 12  1  6  6  5  1  9 12  1 15  6  1  3 15  1  1  5  2
 0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0  8  8  0  8  8  8  0  0  0  8  8  8  0  0  8  8  0  0  8  8  8  8  0  8  8  8  8  8  0  0  0  8  0  8  0  8  0  0  8  8  0  0  8
 0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  8  0  0  8  8  0  0  8  0  8  8  8  0  8  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  0  8  8  0  0  8  0  0  8  0  0  8  0  0  8  0  0  8  0  8  0  0  8  8  0  0  8  8  8  0  8  0  0  8  0  8  0  0  8  8  0  8  8  0  8  8
 0  0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  0  0  8  0  0  0  8  8  0  8  0  0  8  8  8  0  8  8  0  0  8  8  0  8  8  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  0  0  8  8  8  0  8  8  8  8  0  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  0  0  8  8  0  0  8  0  8  8  8  0  8  8  8  8  0
 0  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  0  8  0  0  0  0  8  8  0  8  8  8  8  8  8  8  0  8  0  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  0  8  0  0  0  0  8

generates a code of length 66 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+117x^58+36x^59+244x^60+452x^61+764x^62+1460x^63+1677x^64+2420x^65+2148x^66+2412x^67+1598x^68+1420x^69+746x^70+444x^71+298x^72+60x^73+50x^74+12x^76+8x^78+6x^80+4x^82+2x^84+2x^86+2x^88+1x^90

The gray image is a code over GF(2) with n=528, k=14 and d=232.
This code was found by Heurico 1.16 in 4.15 seconds.