The generator matrix

 1  0  1  1  1 X+2  1 2X+2  1  1  1 3X  1  1 2X  1 3X+2  1  1  1  2  1  1  X  1  1  0  1 X+2  1  1  0  1  X  1  1  1 2X+2  1  1  X  1 2X+2  1 X+2  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  2  1  1 2X+2  1  1  1  1  1  1  1  1  1 2X  0  1  1  1 3X  1  1  1  0 3X
 0  1 X+1 X+2  3  1 2X+1  1 2X+2 X+1 3X  1 3X+3 2X  1 3X+2  1 2X+3 X+3  2  1  X  1  1  0 X+1  1 X+2  1 3X+3 2X+3  1 2X  1  1 3X  2  1 X+3 3X+2  1 2X+3  1 3X+1  1  1  2  X  X  2 2X X+2 X+2 2X+2 2X  X 2X  2 X+2  X 2X+2 X+2  2 3X+2 2X+2  3 X+1 3X+1 X+1 2X+3 3X+2 2X+1 X+3  1  X 2X X+3  X X+3 X+3  3 2X+1  3 2X+1 X+3 X+1 X+2  X  1 3X 3X+3 3X+2  1 X+1 3X+3  0  1  1
 0  0  2  0  0 2X  0 2X 2X 2X 2X  0 2X  2 2X+2 2X+2  2  2 2X+2  2 2X+2 2X+2 2X+2  2  0 2X  0  0  0 2X  2 2X+2  2  2 2X+2  0 2X+2 2X 2X+2 2X+2 2X  0 2X+2  2  2  0  2 2X+2 2X 2X 2X 2X 2X+2 2X 2X+2 2X+2  0  0  0  2  2  2  2 2X  0  0  0 2X+2 2X+2 2X+2 2X 2X 2X 2X+2 2X+2 2X 2X  0  2  2 2X  2  2  0  0 2X  0  2  0 2X+2 2X+2  2  0  0  0 2X+2  2 2X+2
 0  0  0 2X  0 2X 2X  0 2X 2X  0 2X  0  0 2X 2X  0 2X 2X 2X 2X  0  0  0  0 2X 2X 2X  0  0  0  0 2X 2X 2X  0 2X 2X  0  0  0 2X  0 2X 2X  0  0 2X 2X  0  0 2X 2X 2X  0  0 2X 2X  0 2X  0  0 2X  0 2X  0  0 2X  0  0  0 2X 2X 2X 2X 2X 2X 2X  0 2X 2X  0 2X  0  0  0  0 2X 2X 2X 2X 2X 2X  0 2X 2X  0 2X
 0  0  0  0 2X 2X 2X 2X 2X  0 2X  0  0 2X  0 2X  0 2X  0  0 2X  0 2X 2X 2X 2X 2X 2X 2X 2X  0 2X  0 2X  0  0 2X  0 2X  0  0  0  0 2X  0  0 2X 2X  0  0 2X 2X  0  0  0 2X 2X 2X 2X  0  0 2X 2X  0  0  0 2X  0  0 2X 2X  0 2X 2X  0 2X  0  0 2X 2X 2X  0  0 2X  0  0  0 2X  0  0 2X 2X 2X  0  0 2X  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+188x^93+435x^94+388x^95+383x^96+458x^97+622x^98+368x^99+346x^100+308x^101+279x^102+140x^103+87x^104+62x^105+6x^106+12x^108+4x^109+3x^112+1x^114+4x^121+1x^146

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 1.52 seconds.