The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^66+644x^67+1152x^68+2238x^69+2908x^70+3548x^71+3996x^72+4182x^73+3849x^74+3696x^75+2486x^76+1798x^77+1020x^78+584x^79+267x^80+146x^81+50x^82+36x^83+26x^84+20x^85+8x^86+4x^87+8x^88+1x^90

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 11.9 seconds.