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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+91x^86+238x^87+372x^88+308x^89+422x^90+352x^91+350x^92+294x^93+385x^94+172x^95+263x^96+130x^97+181x^98+130x^99+116x^100+74x^101+67x^102+36x^103+17x^104+36x^105+35x^106+14x^107+4x^109+3x^110+2x^111+1x^112+2x^113

The gray image is a code over GF(2) with n=372, k=12 and d=172.
This code was found by Heurico 1.16 in 1.67 seconds.