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

generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+98x^92+220x^93+246x^94+60x^95+139x^96+120x^97+55x^98+28x^99+16x^100+16x^101+16x^102+2x^104+2x^106+4x^109+1x^130

The gray image is a code over GF(2) with n=760, k=10 and d=368.
This code was found by Heurico 1.16 in 0.672 seconds.