The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+76x^15+537x^16+1256x^17+2746x^18+4494x^19+8001x^20+9490x^21+12016x^22+9634x^23+8417x^24+4534x^25+2642x^26+1074x^27+415x^28+142x^29+36x^30+18x^31+5x^32+2x^33

The gray image is a code over GF(2) with n=88, k=16 and d=30.
This code was found by Heurico 1.13 in 11.9 seconds.