The generator matrix

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

generates a code of length 28 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+160x^25+155x^26+212x^27+124x^28+140x^29+52x^30+60x^31+43x^32+52x^33+7x^34+16x^35+2x^38

The gray image is a code over GF(2) with n=112, k=10 and d=50.
This code was found by Heurico 1.16 in 2.69 seconds.