The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  1  1  1  2  1  8  1  4  1  2  1  1  1  1  1  2  0  1  1  2  1  1  8  1  1  1  2  1  2  1  2  1  1 12  0  1  2  2  1  2  2  1
 0  2  0  6  4  6 12  2  8  6  0  6  4  4  2 10 14  0 12  2  8 10  6  0 14  8  2 12  2  2  6  0  6 12 10  8  2  0  2  4  6 10 14  6  8 12 12  2  0 14 14 12  2  2  4 12  4  2  0  2 10  6 14 14  2  2  2 14 10 12 14 14  2
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4 12  0  0  8  8  8  8 12  4  4  4 12  4  4 12 12  4  0 12  4  8  0  4  0 12  0  0  4 12  0  4  0  0  8  8  8  4  8 12  8  8  4  0  0 12 12  8 12  0 12  8 12  0  8  0  8 12  0
 0  0  0 12  0  0  8 12 12 12 12  8  4 12  0  4 12  8  0 12 12  0  4  4  0  0 12  4  8  4  4  0  0  8 12  4 12  8  4 12  0  0  0  0  8  8 12  0  8 12  4  8  8  0  8  4  4  4 12  8  8  0  0  4 12  4 12  4  4  8  8  0 12
 0  0  0  0  8  0  8  8  0  8  0  0  8  8  0  8  8  8  0  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8  8  8  8  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  8  0  8  8  0  0  8  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  8  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  8  8  0  0  8  8  0  8  8  0  8  8  0  0  8  8  0  0  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  0  8  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+163x^66+128x^67+412x^68+324x^69+789x^70+780x^71+1040x^72+1112x^73+981x^74+824x^75+681x^76+276x^77+306x^78+124x^79+128x^80+16x^81+43x^82+25x^84+21x^86+15x^88+1x^90+1x^92+1x^108

The gray image is a code over GF(2) with n=584, k=13 and d=264.
This code was found by Heurico 1.16 in 2.03 seconds.