The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+124x^89+345x^90+582x^91+450x^92+484x^93+325x^94+500x^95+331x^96+438x^97+242x^98+132x^99+73x^100+38x^101+9x^102+8x^104+4x^106+2x^109+2x^110+2x^113+2x^115+1x^130+1x^132

The gray image is a code over GF(2) with n=752, k=12 and d=356.
This code was found by Heurico 1.16 in 1.05 seconds.