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

generates a code of length 91 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+56x^92+7x^96

The gray image is a code over GF(2) with n=728, k=6 and d=368.
This code was found by Heurico 1.16 in 0.547 seconds.