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

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

Homogenous weight enumerator: w(x)=1x^0+124x^66+24x^67+196x^68+140x^69+350x^70+360x^71+687x^72+488x^73+650x^74+376x^75+284x^76+108x^77+94x^78+40x^79+55x^80+50x^82+47x^84+12x^86+9x^88+1x^116

The gray image is a code over GF(2) with n=584, k=12 and d=264.
This code was found by Heurico 1.16 in 0.76 seconds.