The generator matrix

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

generates a code of length 26 over Z4 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+90x^17+207x^18+338x^19+499x^20+698x^21+959x^22+1202x^23+1505x^24+1648x^25+1808x^26+1924x^27+1580x^28+1240x^29+968x^30+668x^31+467x^32+278x^33+153x^34+90x^35+41x^36+14x^37+1x^38+2x^39+3x^40

The gray image is a code over GF(2) with n=52, k=14 and d=17.
This code was found by Heurico 1.16 in 16.1 seconds.