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

generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+49x^76+101x^78+112x^80+128x^81+260x^82+128x^83+119x^84+61x^86+36x^88+26x^90+2x^92+1x^160

The gray image is a code over GF(2) with n=328, k=10 and d=152.
This code was found by Heurico 1.16 in 0.472 seconds.