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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+62x^85+156x^86+232x^87+297x^88+302x^89+320x^90+324x^91+308x^92+286x^93+287x^94+290x^95+273x^96+270x^97+208x^98+194x^99+118x^100+46x^101+25x^102+8x^103+20x^104+20x^105+26x^106+6x^107+6x^108+2x^109+2x^111+4x^113+1x^120+1x^122+1x^130

The gray image is a code over GF(2) with n=372, k=12 and d=170.
This code was found by Heurico 1.16 in 1.73 seconds.