The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  X  1  1  1  1  X  1  X  1  1  X  1  1  1  1  0  2  1  X  1  1  1  X  1  X  1
 0  X  0  0  0  2  0  2  0  X  X X+2  X X+2 X+2  X  2  X X+2  X  0  2  0  X  2  X  0  2 X+2 X+2  X  0 X+2  0 X+2 X+2  0 X+2  2  2 X+2  0  X  2 X+2  0 X+2 X+2  2 X+2  2 X+2  X  0  2  2 X+2  X X+2  2  X  X X+2  X  X  0 X+2  0  0  2 X+2  0  X  X  X  0  X  0  X X+2  2  0  0 X+2  2  0  2  0  0  2  2 X+2  0  2  0
 0  0  X  0  0  2  X  X  X X+2  X  2  X X+2  0  0  0  2  X X+2  0  X X+2  2 X+2  X  2  X  0  2  X  2  X X+2  0 X+2  0  2  0  X  0 X+2  0  X X+2  0  2  X  2  X  X  0  0  2  0 X+2  2 X+2  X  0 X+2  X  0  2  2  0  X  2 X+2  2  2  X X+2  2  0 X+2  0  X  2  2  X  2  0 X+2  0  X X+2  X  X  2  2  2  X  0  2
 0  0  0  X  0  X  X X+2  2  0  X  X  0 X+2  X  2 X+2  X  2 X+2  0  2  X  2  X  2  X  0 X+2  0 X+2  0 X+2  0  0  2  2 X+2 X+2  0 X+2 X+2  0 X+2 X+2  2  2  2  X  0 X+2 X+2  X  2  0  0  0 X+2  2 X+2  2 X+2  0  0  X  2  X X+2  2  0  2 X+2 X+2 X+2  X  0 X+2  0  X X+2  0  2 X+2  2  2 X+2 X+2 X+2 X+2  0  0  0  2  X  0
 0  0  0  0  X  X  2  X X+2  X  X  0  0  2  X  X  0 X+2 X+2  X  2  2  0  X X+2  0 X+2  X  0  2  2 X+2  0  2  0 X+2 X+2  2  X X+2 X+2  X X+2  0  X  0 X+2  0  2  X  2  2 X+2 X+2  2  0 X+2  2  2 X+2  0  X  X X+2  0  X  0  2  0 X+2  2 X+2  0  X  2 X+2  2 X+2  2  X  2  X X+2  X  X  0  0  X  0 X+2  X  2  X  0  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+183x^88+8x^89+96x^90+60x^91+221x^92+264x^93+72x^94+360x^95+133x^96+264x^97+40x^98+60x^99+102x^100+8x^101+34x^102+86x^104+6x^106+37x^108+6x^110+4x^112+2x^114+1x^168

The gray image is a code over GF(2) with n=380, k=11 and d=176.
This code was found by Heurico 1.16 in 1.66 seconds.