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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+196x^81+416x^82+752x^83+1078x^84+1494x^85+1759x^86+2456x^87+3198x^88+3498x^89+3698x^90+3338x^91+3169x^92+2344x^93+1634x^94+1284x^95+821x^96+578x^97+400x^98+266x^99+136x^100+130x^101+55x^102+24x^103+12x^104+12x^105+6x^106+8x^107+4x^109+1x^124

The gray image is a code over GF(2) with n=720, k=15 and d=324.
This code was found by Heurico 1.16 in 28.6 seconds.