The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  1  X  2  1  1  0  2  1  1  0  1  1  0  1  2  1  X  1  1  2 X+2  1  1  1  2  X  1  1 X+2  0  1  2  1  1  2  1  1  X  1  1 X+2 X+2 X+2  1  X  2  1  1  1  1  1  1  1  X  0  0 X+2  1 X+2  0  1  1  1  1  1  2  2 X+2  2  1  1  1  1  0  1 X+2  1  2  1  1  1  1  1
 0  1  0  0  3 X+1  1  2  2  2 X+3  1  1  1  0  3  1  1  1  2  0  3  1  1  X  1  0  0 X+2  1  1  0  3 X+2  0  1  X  X  2  1  1  0 X+2 X+3  1  2  X X+1  1  3  X  1 X+2  1  X  1 X+2  X X+2 X+1  2 X+2 X+3  X  1  1  1 X+2  2  X X+2  0 X+3 X+3  2  2 X+2  1  1  1  3  1 X+1  2  1 X+3  X  1  X  X X+1  X X+3  X
 0  0  1  1  3  2  3  1  0 X+3 X+1  2  0  1  2  1  3  0  0  1  1  1  2  2  0  3 X+1  1  X X+2 X+1  1 X+3 X+3 X+2 X+2  1 X+1  X  X X+1  3  1  1  X  1  1 X+3  2 X+1  X X+3  1 X+1  1  3  1 X+3  X X+1 X+2 X+1  3  3 X+2 X+3 X+3  1  3  1  1  0  0  2 X+3 X+3  1  2 X+3  3 X+1  1  3 X+3  X X+2  1  1  1  2 X+2  3 X+2  X
 0  0  0  X  X  0  X  X  X  0  0  X  X  0  2 X+2  X  X X+2  2  2  0  0  2  X  2  X  2  X  X  0  0  2  0  2 X+2  X  2  X  0 X+2 X+2  X X+2  2  X  0  X  2  0 X+2 X+2 X+2  0  2  2  2  X  2  2 X+2 X+2  2 X+2  X  X  2  2  0  0  0 X+2  X X+2  X  2 X+2 X+2  2 X+2  X  2 X+2 X+2  X  X  X  0  2  0 X+2  0 X+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+50x^88+188x^89+218x^90+234x^91+182x^92+260x^93+147x^94+174x^95+100x^96+112x^97+81x^98+54x^99+34x^100+60x^101+26x^102+50x^103+24x^104+4x^105+19x^106+16x^107+6x^108+5x^110+2x^112+1x^120

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 0.726 seconds.