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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+78x^89+138x^90+288x^91+179x^92+254x^93+124x^94+226x^95+125x^96+180x^97+74x^98+102x^99+49x^100+46x^101+16x^102+38x^103+28x^104+34x^105+10x^106+26x^107+2x^108+17x^110+8x^111+4x^114+1x^118

The gray image is a code over GF(2) with n=380, k=11 and d=178.
This code was found by Heurico 1.16 in 0.749 seconds.