The generator matrix

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

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+48x^86+134x^87+292x^88+218x^89+425x^90+252x^91+412x^92+210x^93+338x^94+182x^95+361x^96+244x^97+345x^98+152x^99+206x^100+84x^101+76x^102+20x^103+13x^104+14x^105+10x^106+8x^107+16x^108+10x^109+4x^110+4x^111+10x^112+4x^113+2x^122+1x^128

The gray image is a code over GF(2) with n=376, k=12 and d=172.
This code was found by Heurico 1.16 in 1.77 seconds.