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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+76x^85+263x^86+334x^87+350x^88+400x^89+388x^90+372x^91+282x^92+288x^93+237x^94+212x^95+199x^96+108x^97+139x^98+108x^99+120x^100+88x^101+48x^102+38x^103+7x^104+14x^105+10x^106+8x^107+2x^110+1x^112+2x^113+1x^114

The gray image is a code over GF(2) with n=368, k=12 and d=170.
This code was found by Heurico 1.16 in 1.61 seconds.