The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^90+994x^91+2266x^92+3192x^93+4503x^94+5702x^95+6390x^96+6748x^97+7098x^98+6530x^99+6006x^100+5128x^101+4033x^102+2812x^103+1903x^104+1072x^105+540x^106+244x^107+102x^108+56x^109+30x^110+18x^111+20x^112+12x^113+4x^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 56.1 seconds.