The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+216x^75+705x^76+1276x^77+1502x^78+2242x^79+1780x^80+2052x^81+1528x^82+1632x^83+1042x^84+1024x^85+559x^86+354x^87+223x^88+136x^89+46x^90+20x^91+19x^92+4x^93+13x^94+6x^96+4x^97

The gray image is a code over GF(2) with n=648, k=14 and d=300.
This code was found by Heurico 1.16 in 3.44 seconds.