The generator matrix 1 0 0 0 0 1 1 1 2 1 1 1 1 X X 0 X+2 X+2 1 1 0 1 1 1 1 1 0 1 1 X 1 2 X+2 X+2 1 X+2 0 1 1 1 X 2 0 1 2 1 1 1 1 2 1 1 0 1 1 X 1 1 1 0 1 X 1 1 2 1 X 1 1 1 1 X+2 1 0 1 1 X 0 2 1 X+2 1 1 1 X+2 2 1 X+2 X X+2 0 X+2 1 1 1 0 1 0 1 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 3 X+3 3 X+3 1 X+3 1 1 3 1 1 1 X+1 1 X X 3 X 1 1 X+2 X+2 1 X X+2 3 X+3 X+2 X+2 1 2 3 1 X X+1 1 X 1 X+2 1 X X+2 1 3 1 1 X+2 X+2 X+1 X X+1 1 2 3 1 1 X+2 0 X 2 1 0 1 1 X+3 X 1 1 1 2 X+3 X+3 X+3 1 X 0 0 1 0 0 2 1 3 1 X X+3 0 3 1 1 2 1 1 X+3 X+2 X X+3 X 1 X+3 X X+1 X+1 0 3 X+3 1 X+3 X+2 0 2 X X+1 1 0 1 3 1 X X X+3 0 2 X+2 2 X 1 1 3 X 1 X+3 X+1 0 1 X+2 2 X+3 X+2 0 X+2 X+3 3 0 3 X X+2 1 2 3 0 X+3 X+1 X+2 3 X 0 X+2 X+1 3 X 2 1 2 2 2 X 1 X+1 3 X X+1 0 0 0 1 0 3 1 2 3 0 0 X+1 X+1 3 0 1 X+3 X+2 X X+2 1 3 X+1 2 2 2 X X+3 1 3 X+3 2 3 X 0 X+3 1 X X+2 2 X+3 1 3 1 X+1 2 X 0 0 X X X+3 X X+2 1 X+1 0 3 X+2 0 X+3 X+1 X X+1 3 1 X+1 0 X+1 X+3 1 1 X+1 0 X+2 3 2 0 1 X 1 2 X+1 X+1 X+2 3 X+3 0 1 2 X+2 1 X X X+2 X X+2 0 0 0 0 1 1 2 3 3 X+1 X X X+1 0 3 X+3 X+2 X+1 X+1 3 3 0 X+2 X X+1 2 2 X 1 0 3 X+1 1 X+3 X+1 0 X 0 X 2 1 X 1 X X+1 0 2 X+3 X 1 3 X+1 3 1 X+2 2 3 2 X+2 X 2 1 3 X+3 0 3 3 X+1 1 X+3 2 X 0 X X+2 0 2 X+1 2 3 X+1 3 1 3 2 X+3 X+2 X 2 X+2 2 1 X+3 X 3 X X+1 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+298x^87+685x^88+932x^89+1385x^90+1468x^91+1879x^92+1756x^93+2405x^94+2104x^95+2505x^96+2378x^97+2516x^98+2138x^99+2286x^100+1792x^101+1762x^102+1272x^103+1013x^104+682x^105+609x^106+334x^107+245x^108+162x^109+83x^110+30x^111+24x^112+8x^113+6x^114+4x^115+2x^116+2x^117+2x^118 The gray image is a code over GF(2) with n=388, k=15 and d=174. This code was found by Heurico 1.13 in 25.3 seconds.