The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+296x^88+136x^90+260x^92+112x^94+144x^96+8x^98+44x^100+19x^104+3x^112+1x^152

The gray image is a code over GF(2) with n=368, k=10 and d=176.
This code was found by Heurico 1.16 in 10.9 seconds.