The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+21x^10+58x^11+195x^12+414x^13+1271x^14+1346x^15+3111x^16+3526x^17+3132x^18+1358x^19+1284x^20+410x^21+176x^22+54x^23+16x^24+2x^25+7x^26+1x^28+1x^30

The gray image is a code over GF(2) with n=68, k=14 and d=20.
This code was found by Heurico 1.16 in 0.825 seconds.