The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+52x^70+128x^71+223x^72+596x^73+824x^74+1618x^75+2449x^76+3532x^77+5088x^78+6436x^79+7787x^80+8266x^81+7817x^82+6422x^83+5062x^84+3608x^85+2411x^86+1410x^87+671x^88+430x^89+239x^90+212x^91+82x^92+68x^93+33x^94+26x^95+10x^96+10x^97+16x^98+4x^99+2x^100+2x^105+1x^108

The gray image is a code over GF(2) with n=648, k=16 and d=280.
This code was found by Heurico 1.16 in 71.6 seconds.