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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+37x^90+6x^91+6x^92+8x^93+2x^94+1x^96+2x^99+1x^106

The gray image is a code over GF(2) with n=360, k=6 and d=180.
This code was found by Heurico 1.16 in 0.403 seconds.