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  X  0  1  1  X 2X+2  1  1  1  X  1 2X  1  X  1  2  1  1  1  1  1  1  X  X  X  X  X  0  X 2X+2  1  1  X 2X  X  2  X  X  X  X  1  1  2  0  1  1  1  2 2X+2 2X  1  1  1  X  X  0  X  X 2X  2  2  2  X  X  X  X  X  X  X  X  1
 0  X 2X+2 X+2 2X 3X+2  2 3X  0 X+2 2X+2 3X 2X 3X+2  2  X  0 X+2 2X+2 3X 2X 3X+2  2  X X+2  X  0 X+2 3X  X 2X+2 3X 2X 3X+2 3X+2  X  2  X  X  X  0 X+2 2X+2 3X 2X 3X+2  0 2X+2 X+2 2X  2  X 3X  X  2  X 3X+2  X  X  X  0 2X+2 2X  2  0 2X+2 2X+2  2 X+2 3X 2X  2  X  2 3X+2  2  X X+2 3X  X 3X+2  X  X  X  0 2X  0 2X 2X+2  2 X+2 3X+2 3X  X  0

generates a code of length 95 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+4x^94+88x^95+6x^96+22x^97+3x^98+1x^104+2x^105+1x^106

The gray image is a code over GF(2) with n=760, k=7 and d=376.
This code was found by Heurico 1.16 in 0.641 seconds.