The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+323x^88+476x^90+384x^92+350x^94+183x^96+124x^98+81x^100+46x^102+35x^104+28x^106+15x^108+1x^112+1x^120

The gray image is a code over GF(2) with n=372, k=11 and d=176.
This code was found by Heurico 1.16 in 1.4 seconds.