The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+255x^92+954x^93+1405x^94+1654x^95+1948x^96+1746x^97+1661x^98+1664x^99+1346x^100+1104x^101+876x^102+666x^103+449x^104+294x^105+168x^106+74x^107+66x^108+24x^109+8x^110+4x^111+2x^112+4x^113+1x^114+2x^115+5x^116+2x^117+1x^118

The gray image is a code over GF(2) with n=784, k=14 and d=368.
This code was found by Heurico 1.16 in 5.12 seconds.