The generator matrix

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

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+50x^8+50x^9+257x^10+374x^11+818x^12+1890x^13+2984x^14+3574x^15+2923x^16+1862x^17+878x^18+402x^19+230x^20+38x^21+40x^22+2x^23+10x^24+1x^26

The gray image is a code over GF(2) with n=60, k=14 and d=16.
This code was found by Heurico 1.16 in 0.678 seconds.