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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+103x^60+4x^61+210x^62+112x^63+385x^64+288x^65+648x^66+740x^67+614x^68+276x^69+316x^70+104x^71+125x^72+8x^73+68x^74+4x^75+43x^76+34x^78+5x^80+4x^82+3x^84+1x^108

The gray image is a code over GF(2) with n=536, k=12 and d=240.
This code was found by Heurico 1.16 in 0.68 seconds.