The generator matrix

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

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+124x^85+306x^86+510x^87+672x^88+636x^89+611x^90+596x^91+566x^92+672x^93+635x^94+474x^95+496x^96+416x^97+347x^98+344x^99+191x^100+158x^101+159x^102+100x^103+71x^104+40x^105+18x^106+24x^107+19x^108+2x^109+4x^110

The gray image is a code over GF(2) with n=372, k=13 and d=170.
This code was found by Heurico 1.13 in 2.13 seconds.