The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+424x^88+784x^90+862x^92+608x^94+443x^96+340x^98+284x^100+156x^102+112x^104+28x^106+34x^108+4x^110+12x^112+4x^116

The gray image is a code over GF(2) with n=376, k=12 and d=176.
This code was found by Heurico 1.11 in 1.38 seconds.