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  2  0  1  1  8  1  1  1  1  1  2  1  1  1  1  8  1  2  1  1  1 12  1  0  1  4  1  2  1  1  2  4  8  1  1  2  2  2  1  0  2  1  0  1  1  1  1  2  8  2 12  1
 0  2  0  6  4  6 12  2  8  6  0  6  4  4  2 10 14  0 12  2  8 10  6  2  8 10  2 10  6  4  4 14  6  8 14  0  2  2 10 14  0  4 10  2 12  2  6  2  8  2  6  2 14  2  2  8  8  8  6 10  6  2 12 10  2  4  0  6  8  2  2  2  2  0
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4 12  0  0  8  8  8  8  8  4  4  4 12 12 12  0  4  0 12  4  4 12  8  0 12  0  8 12  0 12  4  0 12  8  4 12 12  4 12  0  4 12 12 12  8 12 12  4  4  8  8  4  4  0  0  8  0  8  4  0
 0  0  0 12  0  0  8 12 12 12 12  8  4 12  0  4 12  8  0 12 12  0  0 12  0  4  8  0  8 12  8  8 12 12  4  4  4 12  8 12  8  4  8  4 12  0 12 12  0  0 12  8  0 12  0 12 12  0  0 12  4  8 12  8  0  0 12  8  8  4  4 12  4  0
 0  0  0  0  8  0  8  8  0  8  0  0  8  8  0  8  8  8  0  0  0  8  8  8  0  0  8  8  8  8  0  0  8  8  8  0  0  0  0  0  8  8  8  8  0  8  8  0  0  0  0  0  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8  0  0  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  0  0  0  8  8  8  8  8  0  8  8  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  0  0  8  8  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  8  0  0  0  8  8  0  0  0  8  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+33x^66+102x^67+234x^68+358x^69+517x^70+576x^71+802x^72+1016x^73+1008x^74+1078x^75+799x^76+580x^77+391x^78+254x^79+212x^80+76x^81+55x^82+26x^83+23x^84+14x^85+10x^86+8x^87+5x^88+4x^89+2x^91+4x^92+1x^94+2x^95+1x^102

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 1.99 seconds.