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  1  1  1  1  X  X  1  1  1  1  X  X  1  X  X  1  1  1  X  X  X X^2  X  0 X^2  2  1  1  X  X  1  1  X X^2  X X^2  X  X  0 X^2  2  1  1  X  X X^2 X^2  2  1  0  X  X  1  X  X X^2 X^2 X^2 X^2 X^2  X  X  1  1
 0 X^2+2  2 X^2  0 X^2+2  2 X^2  0 X^2+2  2 X^2  0 X^2+2  2 X^2  0 X^2+2  2 X^2  0 X^2+2  2 X^2  0 X^2+2  2 X^2 X^2+2 X^2  0 X^2+2  2 X^2 X^2+2 X^2  0 X^2+2  2 X^2 X^2+2 X^2  0  2  0 X^2+2  2 X^2 X^2+2  0  2 X^2+2 X^2 X^2 X^2 X^2  0  2  0  2 X^2+2 X^2 X^2+2  2 X^2 X^2+2  0  2 X^2 X^2 X^2  0  2  0  2  2  0  2 X^2+2  2 X^2+2 X^2 X^2  0  2  0 X^2+2 X^2  2  0 X^2+2  0 X^2+2  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+4x^95+12x^96+4x^97+2x^98+5x^100+2x^102

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 0.735 seconds.