The generator matrix

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

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+368x^92+288x^93+336x^94+248x^95+293x^96+184x^97+172x^98+40x^99+80x^100+8x^101+16x^102+4x^104+4x^106+4x^108+1x^128+1x^144

The gray image is a code over GF(2) with n=760, k=11 and d=368.
This code was found by Heurico 1.16 in 0.719 seconds.