The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+58x^15+121x^16+124x^17+136x^18+158x^19+168x^20+120x^21+48x^22+38x^23+30x^24+12x^25+8x^26+2x^27

The gray image is a code over GF(2) with n=76, k=10 and d=30.
This code was found by Heurico 1.16 in 12.7 seconds.