The generator matrix
1 0 0 1 1 1 2 1 1 0 1 1 2 0 2 0 0 0 2 1 1 1 1 2 0 1
0 1 0 0 1 3 1 0 2 2 1 1 1 1 1 1 1 1 1 2 1 2 2 1 1 2
0 0 1 1 1 0 1 2 3 1 3 2 1 0 2 2 2 2 0 2 2 3 3 1 3 1
0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0
0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 2 0 2 2 2 2
generates a code of length 26 over Z4 who´s minimum homogenous weight is 22.
Homogenous weight enumerator: w(x)=1x^0+25x^22+34x^23+31x^24+44x^25+23x^26+26x^27+24x^28+12x^29+12x^30+2x^31+6x^32+8x^33+3x^34+2x^35+2x^36+1x^38
The gray image is a code over GF(2) with n=52, k=8 and d=22.
This code was found by Heurico 1.16 in 0.00489 seconds.