The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  X  1  1  1 X+2  1  1  X X+2  1  1  0  1  X  1  X X+2  1  1  X X+2  1  2  1  1  1  1  1  2  1  1  1  1  1  0  X  1  1  0  1  1 X+2 X+2  1  1  1 X+2  1  1  0  1 X+2  2  1  0  1  0  1  1  2  1  1  2  1  1  X  0  1  0
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1  0  2 X+3 X+2 X+1  1 X+2  X  1  1  1  1  1  2 X+2  0  1  2  1 X+3  1 X+2 X+2  1  3  X X+1 X+1  0  1 X+2  3 X+3  3  X X+2  1  1 X+1  1  1  0  1  2 X+2  2  X  1 X+3  2  1  2  1  1  2  2 X+3  1  X  X  1  2  X  1 X+2 X+2  2 X+2 X+1  1
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  X  3  1  X X+2 X+3  1 X+1  2  2 X+3  2  3  X X+1  1  2  1  1 X+3  0 X+2  1 X+1  3 X+2  3 X+2  3  2 X+3  0 X+1 X+3 X+2  2  1  0 X+3  1  0 X+2  3 X+3  1 X+1 X+3  X  1  1  3  3  X X+3  1  0  1  0 X+3  X  3  2 X+2 X+1 X+2  X  0  1  1  X  2
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  0  2  0  2  2  2  2  0  0  2  0  0  0  0  0  2  0  0  2  0  2  2  2  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  0  0  2  0  2  2  2  0  2  0  2  2  0  2  0  0  2  2  2  2  2
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  0  2  0  0  0  2  2  2  0  0  0  0  2  2  2  0  2  2  0  0  0  0  2  2  2  0  0  2  0  2  0  2  2  0  2  2  0  2  0  0  2  0  2  2  0  2  2  0  2  0  2  2  0  0  0  2  2  0  0  2  2  0  0  2  0  2  0  0  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+335x^80+436x^82+398x^84+292x^86+277x^88+148x^90+54x^92+28x^94+42x^96+24x^98+12x^100+1x^104

The gray image is a code over GF(2) with n=340, k=11 and d=160.
This code was found by Heurico 1.16 in 0.598 seconds.