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  1  2  1  1  1  1  1  1  1  2  4  1  1  1  2  2  1  8  1  1  1  1  1  2  1  1  1  2  4  1  0  2  0  8  1  1  2  1  1  8  2  2  1  1
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0 12  4  4 12  0  0  4  8 12  8  0  8 12  8  8  4 12  4  0  4  4  4  0  8  8  0 12  4  8  8  4  4 12 12 12  0  0  4  0  8  8  4  4  4  0 12  4  8  0  0  4 12  4  8
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12 12  0  4  0  0  8 12  0  8  0 12 12 12  4 12 12  0 12  0  8  8  4  8  0  8 12  0  8 12  8  0  8  0  0  0  4  4 12 12  4  4  8  8  8 12  0  0 12 12  4  4  0  0  4
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4 12  8  4  4  0  8  8  4  4 12 12 12 12  0  0 12  4  8  4 12 12  8  4 12 12  0  0  4 12  0  0 12 12  0  8 12 12  0  8  8  0  0  8  4  0  8  0  0  0  4  4 12  4  0
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  0  8  8  8  8  0  8  0  8  8  8  0  8  0  0  8  8  0  8  8  0  0  0  0  0  8  0  0  0  8  0  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  8  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  8  8  0  0  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  0  0  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8  8  8  8  8  0  0  8  8  0  8  0  8  8  8  8  8  0  8  0  8  8  0  0  0  0  0  8  8  8  8  8  0  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+108x^66+246x^68+56x^69+356x^70+224x^71+703x^72+704x^73+1221x^74+1064x^75+1220x^76+760x^77+644x^78+240x^79+253x^80+16x^81+144x^82+8x^83+103x^84+70x^86+27x^88+15x^90+6x^92+2x^94+1x^116

The gray image is a code over GF(2) with n=600, k=13 and d=264.
This code was found by Heurico 1.16 in 2.38 seconds.