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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+30x^58+50x^59+89x^60+124x^61+149x^62+266x^63+443x^64+604x^65+670x^66+602x^67+429x^68+248x^69+132x^70+90x^71+34x^72+32x^73+27x^74+12x^75+25x^76+12x^77+15x^78+4x^79+2x^80+4x^81+1x^84+1x^106

The gray image is a code over GF(2) with n=528, k=12 and d=232.
This code was found by Heurico 1.16 in 0.678 seconds.