The generator matrix

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

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+156x^93+445x^94+426x^95+512x^96+320x^97+463x^98+422x^99+443x^100+288x^101+367x^102+156x^103+58x^104+10x^105+5x^106+2x^107+6x^108+2x^109+2x^111+2x^116+2x^117+6x^121+1x^128+1x^132

The gray image is a code over GF(2) with n=784, k=12 and d=372.
This code was found by Heurico 1.16 in 25.9 seconds.