The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+2  1  1 X+2  1  1  0  1  1 X^2+X  1  1  1  1 X^2+2 X^2+X  1  1  1  1  1  1  1
 0  1 X+1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  3  1  0 X+1  1 X^2+X X^2+1  1 X^2+2 X^2+X X+1  3  1  1 X+2 X+2 X+2  0 X^2+X  0  0
 0  0  2  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  2  2  0  2  0  2  2  0  2  0
 0  0  0  2  0  0  2  2  0  2  0  2  0  2  2  2  0  0  2  2  0  2  0  2  0  2  0  0  0  2  0
 0  0  0  0  2  0  2  0  2  2  2  2  0  2  0  0  2  0  0  2  2  0  0  2  0  2  0  2  0  0  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  2  0  2  0  0  2  2  2  0  0  2  0  0  0  2  2  0

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+51x^26+88x^27+160x^28+704x^29+564x^30+976x^31+557x^32+704x^33+148x^34+88x^35+46x^36+2x^38+2x^40+1x^42+2x^44+2x^46

The gray image is a code over GF(2) with n=248, k=12 and d=104.
This code was found by Heurico 1.16 in 0.11 seconds.