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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+56x^84+82x^85+126x^86+164x^87+160x^88+184x^89+223x^90+278x^91+318x^92+358x^93+377x^94+332x^95+301x^96+246x^97+194x^98+168x^99+104x^100+114x^101+60x^102+64x^103+44x^104+32x^105+27x^106+18x^107+34x^108+6x^109+13x^110+6x^112+2x^113+3x^114+1x^146

The gray image is a code over GF(2) with n=376, k=12 and d=168.
This code was found by Heurico 1.16 in 2.59 seconds.