The generator matrix

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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+19x^78+96x^79+171x^80+318x^81+565x^82+756x^83+1597x^84+2128x^85+4216x^86+4472x^87+7429x^88+6556x^89+8949x^90+6702x^91+7548x^92+4472x^93+4085x^94+2026x^95+1500x^96+726x^97+506x^98+234x^99+144x^100+102x^101+68x^102+38x^103+23x^104+22x^105+19x^106+12x^107+14x^108+10x^109+4x^110+2x^112+2x^113+1x^114+1x^116+2x^120

The gray image is a code over GF(2) with n=720, k=16 and d=312.
This code was found by Heurico 1.16 in 81.8 seconds.