The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+102x^87+199x^88+358x^89+378x^90+406x^91+417x^92+282x^93+343x^94+300x^95+217x^96+200x^97+172x^98+124x^99+154x^100+138x^101+99x^102+54x^103+31x^104+54x^105+28x^106+18x^107+2x^108+8x^109+4x^110+2x^112+4x^115+1x^116

The gray image is a code over GF(2) with n=376, k=12 and d=174.
This code was found by Heurico 1.16 in 1.68 seconds.