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

generates a code of length 91 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+70x^90+144x^91+4x^92+16x^93+8x^94+3x^96+8x^98+2x^106

The gray image is a code over GF(2) with n=728, k=8 and d=360.
This code was found by Heurico 1.16 in 2.05 seconds.