The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+29x^86+238x^87+195x^88+244x^89+169x^90+250x^91+114x^92+216x^93+86x^94+132x^95+70x^96+84x^97+35x^98+42x^99+32x^100+36x^101+20x^102+10x^103+18x^105+9x^106+4x^108+8x^109+3x^110+2x^113+1x^114

The gray image is a code over GF(2) with n=368, k=11 and d=172.
This code was found by Heurico 1.11 in 0.54 seconds.