The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+46x^14+48x^15+192x^16+260x^17+612x^18+770x^19+1308x^20+1976x^21+2498x^22+3322x^23+3602x^24+3704x^25+3400x^26+3172x^27+2488x^28+2016x^29+1474x^30+852x^31+551x^32+228x^33+148x^34+26x^35+44x^36+8x^37+14x^38+2x^39+6x^40

The gray image is a code over GF(2) with n=50, k=15 and d=14.
This code was found by Heurico 1.16 in 15.7 seconds.