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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+86x^90+166x^92+28x^93+206x^94+84x^95+268x^96+152x^97+220x^98+136x^99+194x^100+76x^101+162x^102+36x^103+85x^104+68x^106+32x^108+20x^110+17x^112+4x^114+4x^116+2x^122+1x^168

The gray image is a code over GF(2) with n=392, k=11 and d=180.
This code was found by Heurico 1.16 in 1.02 seconds.