The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+36x^92+64x^93+12x^94+9x^96+4x^102+1x^104+1x^136

The gray image is a code over GF(2) with n=372, k=7 and d=184.
This code was found by Heurico 1.16 in 0.609 seconds.