The generator matrix

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

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+7x^80+68x^81+26x^82+84x^83+34x^84+92x^85+26x^86+88x^87+18x^88+28x^89+8x^90+20x^91+2x^92+4x^93+2x^94+2x^96+1x^98+1x^130

The gray image is a code over GF(2) with n=340, k=9 and d=160.
This code was found by Heurico 1.16 in 0.461 seconds.