The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 0 1 1 1 X+2 1 1 1 1 1 1 1 1 X+2 1 0 1 0 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 1 X+1 X+2 3 1 0 3 X+2 X+1 3 X+2 X+1 0 1 X+1 1 X+2 X 0 0 2 0 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 0 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+34x^25+68x^26+74x^27+217x^28+174x^29+360x^30+206x^31+370x^32+158x^33+200x^34+102x^35+44x^36+18x^37+8x^38+2x^39+4x^40+4x^42+3x^44+1x^48 The gray image is a code over GF(2) with n=124, k=11 and d=50. This code was found by Heurico 1.16 in 28.2 seconds.