The generator matrix

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

generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+110x^80+56x^81+158x^82+80x^83+133x^84+36x^85+102x^86+36x^87+155x^88+16x^89+90x^90+8x^91+13x^92+20x^93+2x^94+4x^95+1x^96+2x^116+1x^128

The gray image is a code over GF(2) with n=340, k=10 and d=160.
This code was found by Heurico 1.16 in 0.401 seconds.