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 X 1 1 X 1 1 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 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1
0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 0 0 0 0 2X 0 0 0 2X 0 0 2X 0 2X 0 0
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 0 0 0 2X 0 2X 0 2X 2X 2X 0 0 0 0 2X 0
0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 2X 0 0 2X 2X 2X 0 0 0 0
0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 0 0 2X 0 0 0 0 2X 0 0 2X 2X 0
0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 2X 0 2X 0 2X 0 2X 0
0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 2X 0 0 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 0 0 0 2X 0 0 2X 0 2X 2X 2X 0 0
generates a code of length 85 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 80.
Homogenous weight enumerator: w(x)=1x^0+33x^80+25x^82+48x^83+12x^84+816x^85+8x^86+16x^87+14x^88+16x^89+22x^90+4x^92+8x^94+1x^162
The gray image is a code over GF(2) with n=680, k=10 and d=320.
This code was found by Heurico 1.16 in 0.468 seconds.