The generator matrix

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

generates a code of length 30 over Z4 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+14x^19+184x^20+242x^21+480x^22+700x^23+1076x^24+1378x^25+1940x^26+2440x^27+2860x^28+3350x^29+3258x^30+3408x^31+2875x^32+2588x^33+2040x^34+1430x^35+1056x^36+582x^37+436x^38+196x^39+128x^40+50x^41+36x^42+4x^43+12x^44+2x^45+2x^46

The gray image is a code over GF(2) with n=60, k=15 and d=19.
This code was found by Heurico 1.16 in 33.4 seconds.