The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+366x^89+371x^90+260x^91+235x^92+228x^93+215x^94+220x^95+51x^96+66x^97+20x^98+4x^101+1x^102+8x^105+1x^114+1x^140

The gray image is a code over GF(2) with n=736, k=11 and d=356.
This code was found by Heurico 1.16 in 63.3 seconds.