The generator matrix

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

generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+76x^83+63x^84+180x^85+55x^86+212x^87+37x^88+128x^89+35x^90+60x^91+33x^92+60x^93+21x^94+20x^95+8x^96+12x^97+1x^98+16x^99+1x^104+4x^113+1x^120

The gray image is a code over GF(2) with n=352, k=10 and d=166.
This code was found by Heurico 1.16 in 0.569 seconds.