The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  1  X  2  1  1  0  2  1  1  0  1  1  0  1  2  1  X  1  1  2  1  1  1  1  2  2  1  1  0  X  1  1  X  2  1  1  1 X+2  1  1  0  1  1 X+2  2  1  1  1  1  1 X+2  1  X  X  2  1  1  0 X+2  1  1 X+2  X  1  X  1  1  1  1  X  2  1  1  0  0  1  1  1  1  2  1
 0  1  0  0  3 X+1  1  2  2  2 X+3  1  1  1  0  3  1  1  1  2  0  3  1  1  X  1  0  0 X+2  1  1 X+3  0 X+1 X+2  1  2  3 X+2  1  X  2  2  1 X+2  3 X+3 X+2  1  X  0 X+2  1  3  1  X X+1  1  X X+1 X+1  X  2  1  1 X+2 X+3 X+2  1  1 X+3 X+1  1 X+2  2  1  1 X+2 X+3 X+1  X  1 X+3  0  1  0 X+3  X X+2  0  1  0
 0  0  1  1  3  2  3  1  0 X+3 X+1  2  0  1  2  1  3  0  0  1  1  1  2  2  0  3 X+1  1  X X+2 X+1  1 X+2  X X+3 X+2  1 X+1 X+1 X+3  1 X+2 X+1  X  1  2  1 X+2  1  3  3  1  X X+3  X  1  0 X+1 X+1 X+2  1  1 X+1 X+3 X+2  1  3  2 X+2 X+2 X+1  3 X+3  1  2  0  1  1 X+1 X+3  1  X X+2 X+2 X+1  0 X+3  0  0 X+2 X+3  0
 0  0  0  X  X  0  X  X  X  0  0  X  X  0  2 X+2  X  X X+2  2  2  0  0  2  X  2  X  2  X  X  0 X+2  2 X+2  0 X+2  X  0 X+2  X  0 X+2  2  X X+2  2  2  0  2  0 X+2  0  2  X  0  X X+2  2  X  2 X+2  X  X  2  2  2  2  0  0  X  2  0 X+2  0 X+2  2  0 X+2 X+2  X X+2  X  0  X  2  X X+2  2  X X+2  0  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+42x^86+228x^87+183x^88+252x^89+195x^90+174x^91+165x^92+208x^93+122x^94+104x^95+76x^96+56x^97+59x^98+54x^99+23x^100+32x^101+17x^102+10x^103+2x^104+20x^105+3x^106+4x^107+4x^108+8x^109+1x^110+2x^111+2x^112+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 1.16 in 0.683 seconds.