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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+34x^94+12x^95+3x^96+6x^98+4x^99+2x^100+2x^104

The gray image is a code over GF(2) with n=752, k=6 and d=376.
This code was found by Heurico 1.16 in 0.609 seconds.