The generator matrix

 1  0  1  1  1 14  1  2  1  8  1  1  4  1  1  1  1 12  1  1  1  1  0 12  6 10  1  1 10  1  1 12  1  1  6  1  1 14  1  0  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  4  8 12  0  0 12 14  1  1  0
 0  1 11  6 13  1 12  1  7  1 10  1  1  8  3 14  5  1  4 15  2  9  1  1  1  1  0  3  1  6 13  1 10 12  1 11 14  1  2  1  8  1  4  1  9  7  7 13  9  9  3  9  5  7  1 13 11  6  3  7 15  7  1  9  7 11  1  1  2  1  1  1  1 15  4  1
 0  0 12  0  4  4  8  4  4 12  8 12 12  4  0 12  8  8  4  0 12  8  0  8  0  0  0  8  0  0  4 12  8  0  8 12 12 12  4 12  4  8  4  4  4  4  0  8  0  8  4  0  8 12 12  4  4 12  4  8 12 12  4  4  0 12 12  4  0  0  8  4  8  8 12 12
 0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  0  0  0  8  0  0  8  8  0  0  0  8  0  0  8  0  8  8  8  0  8  0  0  8  0  0  0  8  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8
 0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  0  0  0  8  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  8  8  8  0  8  8  0

generates a code of length 76 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+140x^71+315x^72+398x^73+443x^74+466x^75+673x^76+482x^77+449x^78+208x^79+266x^80+196x^81+16x^82+18x^83+7x^84+6x^85+2x^86+2x^88+2x^89+4x^93+1x^102+1x^114

The gray image is a code over GF(2) with n=608, k=12 and d=284.
This code was found by Heurico 1.16 in 0.673 seconds.