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

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+116x^92+1x^96+8x^100+2x^104

The gray image is a code over GF(2) with n=736, k=7 and d=368.
This code was found by Heurico 1.16 in 0.594 seconds.