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.