The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+156x^87+120x^88+174x^89+126x^90+112x^91+47x^92+76x^93+28x^94+40x^95+30x^96+26x^97+20x^98+36x^99+8x^100+12x^101+8x^103+2x^106+1x^116+1x^120

The gray image is a code over GF(2) with n=364, k=10 and d=174.
This code was found by Heurico 1.11 in 0.468 seconds.