The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+50x^87+119x^88+124x^89+132x^90+102x^91+110x^92+114x^93+47x^94+54x^95+45x^96+36x^97+22x^98+18x^99+20x^100+12x^101+5x^102+5x^104+1x^106+2x^109+2x^116+2x^120+1x^130

The gray image is a code over GF(2) with n=368, k=10 and d=174.
This code was found by Heurico 1.16 in 0.665 seconds.