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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+369x^76+32x^77+610x^78+336x^79+670x^80+368x^81+641x^82+176x^83+395x^84+112x^85+178x^86+143x^88+34x^90+20x^92+8x^94+1x^96+1x^98+1x^128

The gray image is a code over GF(2) with n=648, k=12 and d=304.
This code was found by Heurico 1.16 in 15.7 seconds.