The generator matrix 1 0 1 1 1 X+2 1 2 1 1 1 X 1 1 2 1 1 2 1 2 1 0 1 1 1 1 X 1 0 1 0 0 1 1 0 X+3 1 X 1 X+3 1 X+2 1 2 X 1 X+3 3 1 3 1 2 1 3 0 X X+3 1 X+2 X 2 2 0 0 X 0 X+2 0 0 2 2 2 0 2 X X+2 0 X+2 X+2 X 0 X+2 0 X+2 X+2 X+2 X 2 0 X+2 2 0 0 0 0 0 X 0 0 X+2 X+2 X X 2 X 2 0 X 2 X+2 2 0 X X+2 2 X+2 X 2 2 0 2 X+2 2 X 0 0 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25. Homogenous weight enumerator: w(x)=1x^0+68x^25+135x^26+256x^27+348x^28+432x^29+527x^30+586x^31+617x^32+386x^33+271x^34+228x^35+112x^36+68x^37+25x^38+18x^39+10x^40+6x^41+2x^42 The gray image is a code over GF(2) with n=124, k=12 and d=50. This code was found by Heurico 1.16 in 0.339 seconds.