The generator matrix

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

generates a code of length 31 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+21x^26+76x^27+77x^28+220x^29+479x^30+304x^31+488x^32+224x^33+65x^34+68x^35+7x^36+4x^37+8x^38+3x^40+1x^42+1x^46+1x^50

The gray image is a code over GF(2) with n=248, k=11 and d=104.
This code was found by Heurico 1.16 in 0.047 seconds.