The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+254x^92+912x^93+1305x^94+1798x^95+2046x^96+1762x^97+1616x^98+1560x^99+1367x^100+1052x^101+1027x^102+642x^103+365x^104+268x^105+148x^106+152x^107+41x^108+32x^109+10x^110+8x^111+5x^112+6x^113+6x^114+1x^120

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 5.33 seconds.