The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+164x^93+962x^94+954x^95+1115x^96+948x^97+1098x^98+536x^99+756x^100+360x^101+371x^102+286x^103+225x^104+152x^105+151x^106+48x^107+46x^108+8x^109+8x^110+1x^114+1x^118+1x^128

The gray image is a code over GF(2) with n=784, k=13 and d=372.
This code was found by Heurico 1.16 in 1.67 seconds.