The generator matrix

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

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+68x^15+163x^16+246x^17+358x^18+568x^19+972x^20+1652x^21+2566x^22+3068x^23+2620x^24+1728x^25+1066x^26+596x^27+306x^28+204x^29+98x^30+48x^31+32x^32+10x^33+8x^34+4x^35+2x^36

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 5.02 seconds.