The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  1  1  0  1  1  1  0  2
 0  1  0  0  0  1  1  1  2  2  1  2  0  1  0  2  1  1  0
 0  0  1  0  1  1  0  3  2  0  0  2  1  1  2  2  3  0  1
 0  0  0  1  1  2  3  1  1  1  3  3  3  3  1  0  2  0  0
 0  0  0  0  2  0  2  2  2  0  0  0  0  0  0  2  2  2  2

generates a code of length 19 over Z4 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+64x^15+78x^16+96x^18+128x^19+32x^22+64x^23+48x^24+1x^32

The gray image is a code over GF(2) with n=38, k=9 and d=15.
This code was found by Heurico 1.16 in 72.2 seconds.