The generator matrix

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

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+224x^88+350x^90+395x^92+314x^94+253x^96+250x^98+147x^100+38x^102+53x^104+8x^106+6x^108+3x^116+5x^120+1x^124

The gray image is a code over GF(2) with n=376, k=11 and d=176.
This code was found by Heurico 1.16 in 1.02 seconds.