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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+48x^66+123x^68+96x^69+137x^70+416x^71+447x^72+416x^73+119x^74+96x^75+82x^76+39x^78+11x^80+9x^82+6x^84+1x^88+1x^132

The gray image is a code over GF(2) with n=576, k=11 and d=264.
This code was found by Heurico 1.16 in 0.458 seconds.