The generator matrix

 1  0  1  1  1  0  1 X+2  1  2  1  1  1  1  0  1  1  1  1  0  1  0  1  2  1  1  X X+2  1  1  1  2  1  1  1 X+2  1  X  1  2  1  2  1  1  2  1  1  X  1  1  1  1 X+2  1  1  1  1  1  1  1  1  0 X+2  1  1  1  1  1  1  1  1  1  X  0  1  1  1  1  1  1  0  X  1  2  1  1  1  1  1  2  1
 0  1  1  0 X+3  1  X  1 X+1  1 X+2  3  2  1  1 X+3  X  1  X  1  2  1  3  1  2 X+3  1  1 X+1 X+2  0  1  0  X X+3  1  3  1  3  1 X+3  1  1  2  1  1  0  1 X+1  X  2  X  1  X X+3  1  1  3 X+1  3 X+1  X  1 X+3 X+3 X+1 X+2  1 X+3  3 X+3 X+2  X  X  0  3  2  3  1 X+2  1  1  2  1  0  0 X+3  X X+2  1  3
 0  0  X  0 X+2  X  2  X X+2  X  0 X+2 X+2  0  2  0 X+2  2  X  0  X  X  2 X+2  2  X  0  X  2  0  2  2 X+2 X+2  2 X+2 X+2 X+2  X  X X+2  2  2  X  0  0 X+2  0 X+2  0  2  X  2  2  0  0  X  X  0  0  X  0  2  X  2 X+2  0  0  2 X+2  0  X  X X+2  X  2  2  X  X  X  X  X  X  X X+2  X  0  0  0 X+2 X+2
 0  0  0  X  0  X  X  X  X  2  2 X+2  2 X+2  X X+2  2  2 X+2  0 X+2  2  2 X+2 X+2  2  X  2  2  2  0 X+2  2  2  2  2 X+2  X  2  X  X X+2  X X+2  2 X+2  X  2 X+2  0  X  X  0 X+2  2  X X+2  2  X  2  X X+2  X  0  0  0  X  0  X  X  X  2  X  0  0  X X+2 X+2  X  X  X  2  2 X+2 X+2 X+2  2  X X+2  X  X
 0  0  0  0  2  2  2  0  2  2  2  0  0  2  0  0  2  2  2  2  0  0  0  2  0  2  2  2  2  0  2  2  2  0  0  0  2  2  0  0  0  0  2  2  0  0  0  2  2  2  2  0  0  2  0  0  2  2  2  0  0  2  0  0  2  0  0  0  0  0  0  0  2  0  2  0  2  0  2  2  0  0  2  0  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 85.

Homogenous weight enumerator: w(x)=1x^0+164x^85+147x^86+206x^87+110x^88+244x^89+164x^90+172x^91+122x^92+172x^93+96x^94+140x^95+75x^96+102x^97+27x^98+50x^99+10x^100+16x^101+6x^102+2x^103+2x^104+2x^105+4x^106+6x^107+4x^109+2x^110+1x^118+1x^130

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 1.75 seconds.