The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  X  1
 0  X  0  0  0  0  0  X  2 X+2  2  X  2  0  0
 0  0  X  0  0  0  0  X  0  0  X X+2  2  2  0
 0  0  0  X  0  0  0  X  X  2  0 X+2  0  2  0
 0  0  0  0  X  0  X  X  X  X X+2  X  X  0  0
 0  0  0  0  0  X  X  2  X X+2  X  2  X  2  0
 0  0  0  0  0  0  2  2  0  2  2  0  0  0  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+148x^8+140x^9+351x^10+356x^11+592x^12+908x^13+3008x^14+5380x^15+2985x^16+900x^17+614x^18+396x^19+360x^20+100x^21+120x^22+12x^23+10x^24+3x^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 1.02 seconds.