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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+56x^85+172x^86+224x^87+246x^88+222x^89+186x^90+174x^91+141x^92+150x^93+93x^94+64x^95+73x^96+54x^97+45x^98+46x^99+21x^100+12x^101+19x^102+16x^103+20x^104+5x^106+2x^109+4x^111+2x^112

The gray image is a code over GF(2) with n=364, k=11 and d=170.
This code was found by Heurico 1.16 in 0.661 seconds.