The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  X  1  1  1  1  1  X  1  1  1 2X+2  1 2X+2  1 2X  1  X  1  1  1 2X 2X  X 2X+2  1  X 2X+2 2X  1  X  X  X  1
 0  X  0  X 2X  0 X+2 3X+2  0 2X  X 3X 2X X+2 2X X+2  2 3X 2X+2 3X+2  X  2  2 X+2 3X+2 2X+2 2X+2 3X  2  2 3X+2  X 3X  2 3X+2 2X 2X 3X 3X  2 3X+2 2X 3X+2  0  X 3X+2 2X+2 2X  2 X+2 3X 2X 3X+2  0  2 3X X+2 3X 2X+2 2X 3X+2 3X 2X+2  2  X X+2 3X  X X+2 X+2  X  X 2X X+2  0  X X+2  X  X  X 3X  X X+2 3X 3X  X  X  2  X X+2 3X  X  X  X  0 3X+2 3X  2
 0  0  X  X  0 3X+2 X+2 2X  2 3X+2 3X+2 2X+2 3X 2X+2 2X+2  X  2 3X+2 X+2  2 2X 3X  2 3X+2 3X+2  0 X+2  0  X  2  0 3X  2  0 3X  X  X  2 3X+2 2X 2X+2 X+2 X+2 2X+2 3X 2X+2 X+2 2X+2 3X+2 3X 2X 2X  0  0  X 3X+2 2X  2  0 X+2 3X 3X 3X 2X+2  2  2  X X+2 3X 2X  X  0  X 2X  X 2X+2  0 2X 3X+2  X  X X+2 2X+2  0  0 X+2 X+2 X+2 2X 3X 3X 2X  2  2 3X  0 3X+2 3X
 0  0  0  2  2 2X+2  0 2X+2  2 2X  2 2X  2  2  0  0  0  0 2X  0  2  2  2  2 2X+2 2X+2  2 2X+2  0 2X  0 2X 2X+2  0  2 2X 2X+2  0 2X  2 2X+2  0 2X 2X 2X+2 2X 2X+2 2X+2  0 2X 2X 2X+2  2 2X 2X 2X+2 2X  2 2X  2 2X+2  0 2X+2 2X+2 2X+2 2X+2  0  2  0  2  0 2X+2  2 2X+2  2  2  0 2X 2X+2 2X  2 2X+2  0  2 2X 2X  2 2X+2  0 2X+2 2X+2 2X+2 2X+2 2X+2 2X 2X  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+106x^92+204x^93+333x^94+366x^95+392x^96+402x^97+597x^98+466x^99+376x^100+280x^101+227x^102+130x^103+77x^104+42x^105+23x^106+30x^107+24x^108+18x^110+1x^122+1x^162

The gray image is a code over GF(2) with n=784, k=12 and d=368.
This code was found by Heurico 1.16 in 1.61 seconds.