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 X 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 1 1 1 1
0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 2X 0 0 0 0 2X 0 0 2X 0
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 0 0 0 2X 0 0 2X 2X 0 2X 0 2X 2X
0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 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 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 0 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X
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 0 2X 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 0 2X 2X 2X 2X
0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 0 2X 2X 0 0 2X 0 2X 0 0 0 2X 0 0 0 0 2X
generates a code of length 79 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 74.
Homogenous weight enumerator: w(x)=1x^0+17x^74+28x^76+32x^77+20x^78+832x^79+21x^80+32x^81+22x^82+12x^84+4x^86+2x^88+1x^154
The gray image is a code over GF(2) with n=632, k=10 and d=296.
This code was found by Heurico 1.16 in 0.359 seconds.