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

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

Homogenous weight enumerator: w(x)=1x^0+38x^92+8x^93+4x^94+6x^95+1x^96+3x^98+2x^103+1x^106

The gray image is a code over GF(2) with n=368, k=6 and d=184.
This code was found by Heurico 1.16 in 0.435 seconds.