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  8  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  4  1  1  2  2  1  0  1  2 12  2  1 12  2  1  1  2
 0  2  0  6  4 14 12  2  2  0 10  8  6 12 12  6  2  0 14 12  8  6  4 10 14 10  0  4  4 10  0 10 14 10  0  8 10  0  4  6  4  4  6  6 10  2  4  8  6 14  0  8  0 14 12  4 14 10  6 14  8  4  4 12 10  2  6  2  6  2  2  2 10 10  2 14 10  2  6 14  4  6
 0  0 12  0  4  4  0  4  4  8  8  4  8 12  8  4  4  0 12  8  4  0 12  0  0  4  8 12  0  0  4  4 12  8  0  8  0 12  8  8 12  8 12  0 12 12 12 12  4 12 12  4  0  4 12  4 12 12 12 12  8  8  0  0 12  4  8  0  0 12  0  8 12  0  0 12  4  8  0  8  4  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  0  8  0  0  0  0  8  8  8  8  0  0  8  0  0  0  0  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  0  0  8  8  8  8  0  0  8  8
 0  0  0  0  8  0  8  0  8  0  8  0  8  8  8  8  8  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  0  8  8  0  8  0  0  0  8  0  8  8  0  0  0  0  8  8  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  0  8  0  8  0  8  0  0  0  0  8  0  0  8  0  0  8  8  0  0  8  0  0  0  8  8  8  8  8  8  0  0

generates a code of length 82 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+185x^76+84x^77+278x^78+260x^79+487x^80+424x^81+706x^82+424x^83+469x^84+260x^85+234x^86+84x^87+155x^88+22x^90+13x^92+8x^94+1x^96+1x^140

The gray image is a code over GF(2) with n=656, k=12 and d=304.
This code was found by Heurico 1.16 in 1.14 seconds.