The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+182x^80+856x^81+1468x^82+2600x^83+2727x^84+3616x^85+3318x^86+4204x^87+3127x^88+3352x^89+2356x^90+2212x^91+1135x^92+800x^93+340x^94+196x^95+136x^96+80x^97+32x^98+4x^99+14x^100+6x^102+6x^104

The gray image is a code over GF(2) with n=696, k=15 and d=320.
This code was found by Heurico 1.16 in 14.9 seconds.