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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+82x^79+159x^80+244x^81+350x^82+648x^83+937x^84+1400x^85+1784x^86+2276x^87+3111x^88+3526x^89+3986x^90+3588x^91+2948x^92+2368x^93+1674x^94+1342x^95+873x^96+566x^97+299x^98+202x^99+117x^100+78x^101+69x^102+34x^103+36x^104+8x^105+20x^106+18x^107+6x^108+2x^109+8x^110+2x^111+3x^112+1x^114+1x^118+1x^120

The gray image is a code over GF(2) with n=720, k=15 and d=316.
This code was found by Heurico 1.16 in 41 seconds.