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

generates a code of length 92 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+92x^89+256x^90+124x^91+182x^92+100x^93+144x^94+40x^95+38x^96+16x^97+12x^98+8x^99+2x^100+4x^102+4x^103+1x^128

The gray image is a code over GF(2) with n=736, k=10 and d=356.
This code was found by Heurico 1.16 in 0.593 seconds.