The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  1  0  2  1  1  X  1  2  X  1  1 X+2  1  1  0 X+2  1  1  X  X  1  1 X+2  1  1  1  X  1  1  2  0  1  1  0  1  0  1  1  1  1 X+2  1  2  2  X  1  2  1  1  1  0  1 X+2  1  0 X+2  1  X  1  1  1  X  X X+2  2  1  1  2  X  1  1  1  X  1  0  1  1  1  1  0  2  2  1
 0  1  0  0  1  1  1  2  2  2  3  3  1  1  0  0  2 X+1  1  1  1  0  1  3  X  2  1 X+1  0  1  X X+1 X+1  1  X X+2 X+1  1 X+2 X+2  1  1  1 X+1  X X+3  1  0 X+3  X  2 X+2  1  X  1  2  3  1  0  2  X  1 X+2  1  3 X+2 X+2 X+1  1 X+3  3  2  1  1  1  1 X+3 X+3 X+2  2 X+2  2 X+2  1 X+1  1  3  2  3  X  1  1  1  0
 0  0  1  1  2  3  1  1  0  1  2  3  0  3  0  1  1 X+1  3  0  2 X+3  3  3  X  1  0  2  X X+3  1  2  3 X+2  0  1 X+2  X  0  1 X+3  0 X+2  3  1  2  X X+1 X+3  1 X+2  1  X  1  X  1 X+2  X  X  3  0 X+2 X+1 X+2 X+3  1  1  X  0 X+2 X+2  2  3  1  2  0 X+2 X+1  1  1 X+1 X+1  3  2  1 X+1 X+2 X+3  X  X X+1  X X+1  1
 0  0  0  X  0  X  X  X  X  0  X  0  X  0 X+2  2 X+2  2 X+2  0 X+2  X  2 X+2  2  2  X X+2  0  X  2  X  2  0 X+2 X+2  0  2  2  0  2 X+2  2  X X+2  2  0  0 X+2  X  2  X  0  0  2  0 X+2  X X+2 X+2  0 X+2 X+2 X+2  2  X  0 X+2  2  X  X  2  X X+2  X  2  2  0  2  X  2 X+2  0 X+2  0  X  2  X X+2  X 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+44x^88+198x^89+218x^90+216x^91+210x^92+258x^93+131x^94+174x^95+95x^96+126x^97+64x^98+60x^99+52x^100+46x^101+28x^102+54x^103+18x^104+12x^105+17x^106+8x^107+10x^108+5x^110+2x^112+1x^122

The gray image is a code over GF(2) with n=376, k=11 and d=176.
This code was found by Heurico 1.11 in 0.581 seconds.