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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+17x^66+81x^68+125x^70+64x^71+610x^72+384x^73+561x^74+64x^75+31x^76+45x^78+16x^80+10x^82+28x^84+10x^86+1x^136

The gray image is a code over GF(2) with n=584, k=11 and d=264.
This code was found by Heurico 1.16 in 15.6 seconds.