The generator matrix

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

generates a code of length 31 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+160x^25+1224x^26+3808x^27+7892x^28+15444x^29+22676x^30+28376x^31+22947x^32+15882x^33+7808x^34+3330x^35+1134x^36+320x^37+52x^38+4x^39+8x^40+2x^41+2x^43+2x^44

The gray image is a code over GF(2) with n=248, k=17 and d=100.
This code was found by Heurico 1.16 in 55.3 seconds.