The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+145x^66+260x^67+684x^68+1116x^69+2008x^70+2652x^71+3353x^72+4272x^73+4217x^74+4172x^75+3275x^76+2520x^77+1876x^78+1036x^79+533x^80+272x^81+168x^82+64x^83+71x^84+12x^85+21x^86+8x^87+12x^88+10x^90+6x^92+3x^94+1x^96

The gray image is a code over GF(2) with n=592, k=15 and d=264.
This code was found by Heurico 1.16 in 15.7 seconds.