The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+323x^66+552x^67+1611x^68+1520x^69+3103x^70+3284x^71+4415x^72+3876x^73+4274x^74+3064x^75+2847x^76+1428x^77+1164x^78+452x^79+501x^80+108x^81+113x^82+40x^83+58x^84+12x^85+13x^86+6x^88+2x^90+1x^96

The gray image is a code over GF(2) with n=584, k=15 and d=264.
This code was found by Heurico 1.16 in 36.6 seconds.