The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+50x^15+182x^16+282x^17+474x^18+650x^19+1270x^20+1794x^21+2133x^22+2602x^23+2218x^24+1814x^25+1296x^26+746x^27+458x^28+198x^29+122x^30+44x^31+31x^32+8x^33+6x^34+4x^35+1x^38

The gray image is a code over GF(2) with n=92, k=14 and d=30.
This code was found by Heurico 1.16 in 3.87 seconds.