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  1  1  2  1  1  2  1  1  1  1  0  1  1  1  1  1  1  2  1  1  2  1  8 12  1  1  2  1  0  1  2  1  1  2  4  8  1  8 12  8  2  1  2  2  1
 0  2  0  6  4 14 12  2  0  6 12 10  8 14 12  2  0 14  8 14  4  2 12 10 12  2  6 12 14  0 12 14 14 14  2  8  0 10  2  2 10  8  0 10  4 12  6  0  6 14  2  2  2  2  2 10 10  0  2 14 10  2  0  2  2  0  2  2  2 10 12  6  6  0
 0  0 12  0  4  4  0  4  0  8  0  8 12 12 12  4  8  8  4 12  4  4  8  0 12  4  4  0  0  0  4  4  4 12  4  4 12  0  0  8  4  4  4  8 12  0  8  0  4  4  0 12  8 12  4  8  0  4  8  4  0  0  4 12  4  8  4  8  4  8  0  0  8  0
 0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  0  0  8  8  8  0  8  0  0  0  8  0  0  8  0  8  0  8  8  0  0  0  0  0  8  0  8  8  8  8  0  0  0  8  8  8  0  8  0  0  8  0  8  0  8  0  0  0  0  0
 0  0  0  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  0  8  0  8  0  0  0  8  8  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  0  8  8  0  0  0  0  0  8  0  0  8  0  8  8  0  8  8  8  8  8  8  8  0  0  8  8  8  0
 0  0  0  0  0  8  0  8  0  0  0  0  0  8  0  8  0  0  0  8  0  8  0  0  0  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  8  8  8  8  0  0  8  8  8  0  0  0  8  8  8  8  0  8  8  0  8  8  0  0  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  8  8  0  8  0  0  8  8  0  0  0  8  0  8  8  0  8  8  0  8  8  8  8  8  0  0  8  8  0  0  0  8  8  0  8  0  8  0  0  0  0  0  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+48x^66+140x^67+211x^68+336x^69+446x^70+484x^71+1091x^72+612x^73+1604x^74+582x^75+1057x^76+506x^77+395x^78+228x^79+175x^80+130x^81+48x^82+28x^83+17x^84+14x^85+14x^86+8x^87+5x^88+2x^89+4x^90+2x^91+3x^92+1x^110

The gray image is a code over GF(2) with n=592, k=13 and d=264.
This code was found by Heurico 1.16 in 2.09 seconds.