The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+142x^25+1291x^26+3544x^27+8308x^28+15250x^29+23335x^30+26554x^31+24411x^32+15618x^33+7977x^34+3094x^35+1132x^36+286x^37+101x^38+22x^39+4x^40+2x^43

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 56 seconds.