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  1  1  0  1  1  2  0  1  1  1  2  0  0  1  0  1  1  X  1  X  1  X  1  1  1  1  1  1 X+2  2  0  1  1  1  X  1  1  1  1  1  X  1  1 X+2  1  1  X  X  1  1  1  1  0  2  1  1  X  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+2 X+1  1  X X+3  1  X  1 X+2 X+1  1 X+2  1 X+1  1  X  0  1  3  1  X  X  X X+3 X+2 X+3  2  2  1  1  1  X  3 X+2  1  0  0  3  3  2 X+2 X+3  2  1 X+2  3  1  1 X+2  X  0 X+1  1  1 X+1  1  2  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  2  0  1  3 X+3  1 X+2  0 X+2 X+3  1  X  3  0 X+3  X  X X+2 X+3 X+1  1 X+2  X  1 X+3 X+1  X  1 X+2  X X+2 X+3  3  1 X+1  0 X+3 X+3  1  2  2  3  3 X+1  1 X+3 X+2 X+1  3 X+1  X  X  X X+3 X+3  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  X  0 X+2  0 X+2  2  X  2  X  X  2  2  2  X  X  0  2 X+2 X+2 X+2  2 X+2  X  0  2  X  0  2  0  0  2  0  X  2 X+2  X X+2  X  X  0  X  X  2 X+2  0  0 X+2  2  2 X+2  2 X+2  2  X  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+68x^85+139x^86+242x^87+225x^88+278x^89+169x^90+162x^91+127x^92+164x^93+84x^94+82x^95+52x^96+70x^97+30x^98+50x^99+27x^100+8x^101+21x^102+20x^103+12x^104+4x^105+5x^106+2x^108+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 1.11 in 0.521 seconds.