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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+55x^66+140x^67+255x^68+456x^69+593x^70+920x^71+1264x^72+1584x^73+1969x^74+1964x^75+2023x^76+1762x^77+1180x^78+870x^79+532x^80+286x^81+182x^82+112x^83+60x^84+64x^85+41x^86+22x^87+17x^88+6x^89+4x^90+4x^91+6x^92+2x^93+6x^94+2x^96+1x^98+1x^106

The gray image is a code over GF(2) with n=600, k=14 and d=264.
This code was found by Heurico 1.16 in 7.53 seconds.