The generator matrix

 1  0  0  0  1  1  1 3X+2  1 3X+2  1  X  1 2X+2  1 X+2  1  1  0  2 X+2  1  1  1 2X 2X+2  1  1  1 2X+2  1  1 X+2  0  1 2X  1  1  0 2X+2 2X+2 X+2  1  X X+2  1  1  1 2X  1  X 3X  1  X  1  1 3X+2  1 2X  1 3X  1  1 3X  1  1  1  1  2  1  0 X+2 3X+2  1  1 X+2 2X+2  1  1  1  1  0 3X  1  1  X 3X  1  1  1  1  1  1  1 3X  1  1  1
 0  1  0  0 2X  3 3X+1  1 2X+2 2X+2 2X+2  1 3X+3  1 X+1 2X+2 2X  1  1  1  1  1 3X+2 2X+3 3X  1 X+2 2X  1 3X+2  2 2X  X 3X X+3  1 2X+3  X  1  2 2X+2  1 3X+1  1 X+2 X+3  X 3X+2 X+2 3X+1  1  1  0 2X 2X+1 2X+1  1 2X  X  X 3X+2 2X+1 3X+3 2X X+2 3X+2 2X+1 2X  1  0  1  1  1 3X 3X+2  1  1 3X+1  3 3X  0  1 3X+2  X 3X+3 2X+2 3X 3X+2 2X+3 3X+2  1 X+2  X  3  1 2X+1 3X+2  0
 0  0  1  0  2 2X 2X+2 2X+2  1  1 X+3 X+3  3 X+1 X+1 3X+2  1 2X+3 2X+1  2  2 2X X+3  X  1  1  0 3X+2 3X+3  1 X+2 X+3  1 3X+2  0 3X+2  3 3X+1 3X+3  1 3X+2 3X  X 2X+1 X+2 2X 2X+3  2  1 3X+3  2 3X+1  0  1  X X+1 3X+1  X  2 3X+2  1  0 X+1  1 X+3 X+2 3X+1 2X+1 X+2 3X+3  X 3X+2 3X X+3  1 2X+2  2 3X+1  X 2X+1  X  0  1 3X 3X+2  1  1 2X  3  0 X+1 3X+2 3X+2 3X 2X+2  2 3X+1  0
 0  0  0  1 3X+3 X+3 2X X+1 3X+1 X+3  0 2X+1 3X+2 3X X+3  1 2X+1  0 2X+2 3X+2  1  2 2X+2 X+1 X+2  1 2X+1 2X 3X+1 3X+3 3X+3 2X+3  0  1 3X+3 X+3 X+2 X+2  2 3X+1  1 X+2 3X+2  1  1 2X+3 3X+1  2 2X+3 2X+2 2X+2 X+3 X+2 2X+3 2X 3X+2  X  1  1  3 X+3  1 X+3  2 3X+1  2 2X+3 3X 2X+1 3X+3 3X+2 2X+2 X+1  X  3 3X 2X+3 3X X+3 3X+2 X+1  X  X 3X+2  2  X 2X  X 3X 3X+1 3X+3 3X+3  1  1  3 3X+2 2X  0

generates a code of length 98 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+112x^90+1090x^91+2348x^92+3404x^93+4435x^94+5102x^95+6509x^96+7204x^97+6782x^98+6504x^99+6231x^100+4992x^101+3862x^102+2926x^103+1813x^104+1004x^105+567x^106+320x^107+169x^108+60x^109+57x^110+20x^111+9x^112+8x^113+1x^114+6x^115

The gray image is a code over GF(2) with n=784, k=16 and d=360.
This code was found by Heurico 1.16 in 70.9 seconds.