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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+226x^92+280x^93+514x^94+488x^95+403x^96+460x^97+400x^98+376x^99+406x^100+284x^101+152x^102+28x^103+34x^104+22x^106+4x^107+2x^108+4x^110+4x^112+2x^118+2x^122+2x^124+1x^132+1x^140

The gray image is a code over GF(2) with n=776, k=12 and d=368.
This code was found by Heurico 1.16 in 1.16 seconds.