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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+16x^93+8x^94+7x^96

The gray image is a code over GF(2) with n=364, k=5 and d=186.
This code was found by Heurico 1.16 in 0.417 seconds.