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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+74x^86+4x^87+178x^88+60x^89+236x^90+60x^91+214x^92+124x^93+294x^94+140x^95+153x^96+68x^97+128x^98+52x^99+92x^100+4x^101+72x^102+47x^104+18x^106+14x^108+8x^110+4x^112+2x^114+1x^152

The gray image is a code over GF(2) with n=376, k=11 and d=172.
This code was found by Heurico 1.16 in 0.917 seconds.