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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+28x^65+95x^66+96x^67+73x^68+248x^69+297x^70+404x^71+583x^72+528x^73+613x^74+432x^75+212x^76+184x^77+94x^78+72x^79+15x^80+20x^81+32x^82+16x^83+9x^84+16x^85+17x^86+4x^87+1x^88+3x^90+2x^92+1x^114

The gray image is a code over GF(2) with n=584, k=12 and d=260.
This code was found by Heurico 1.16 in 0.878 seconds.