The generator matrix

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

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+50x^86+110x^87+148x^88+134x^89+87x^90+104x^91+84x^92+64x^93+78x^94+58x^95+22x^96+26x^97+14x^98+10x^99+12x^100+7x^102+2x^104+3x^106+4x^107+3x^112+2x^115+1x^118

The gray image is a code over GF(2) with n=364, k=10 and d=172.
This code was found by Heurico 1.16 in 0.496 seconds.