The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+76x^88+234x^89+350x^90+396x^91+386x^92+414x^93+323x^94+390x^95+229x^96+220x^97+181x^98+232x^99+101x^100+106x^101+94x^102+80x^103+94x^104+54x^105+39x^106+36x^107+32x^108+12x^109+9x^110+2x^111+4x^114+1x^116

The gray image is a code over GF(2) with n=380, k=12 and d=176.
This code was found by Heurico 1.11 in 0.772 seconds.