The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^17+97x^18+146x^19+290x^20+352x^21+453x^22+634x^23+754x^24+856x^25+886x^26+884x^27+776x^28+664x^29+518x^30+356x^31+203x^32+128x^33+89x^34+26x^35+22x^36+8x^37+5x^38+2x^39+2x^40

The gray image is a code over GF(2) with n=52, k=13 and d=17.
This code was found by Heurico 1.16 in 3.63 seconds.