The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+335x^86+459x^88+403x^90+294x^92+227x^94+118x^96+93x^98+39x^100+46x^102+14x^104+16x^106+3x^108

The gray image is a code over GF(2) with n=364, k=11 and d=172.
This code was found by Heurico 1.16 in 0.736 seconds.