The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 1 X+2 X+2 1 2 0 0 1 X 1 1 X+2 0 1 1 1 1 1 X+2 X+2 X+2 1 X 2 1 1 0 2 0 1 0 X X 1 1 1 1 2 X 1 1 1 1 0 1 X+2 1 1 2 1 1 X 1 1 0 1 0 1 1 X X+2 X 2 0 0 0 X+2 1 1 X 1 2 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 1 1 2 X 1 2 X+1 1 X 3 X+2 X+1 X+2 X+2 1 X 1 1 1 1 3 X+2 X 1 2 0 0 0 X X+1 0 3 3 1 1 3 X X+1 X+2 1 X X X+2 0 0 1 2 1 X X+1 1 X+1 X 2 1 1 1 1 2 X 1 2 0 3 X+3 1 2 1 2 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 X+1 X 1 3 X+1 2 0 0 X 1 3 1 X X X+3 2 2 0 3 X+2 X+2 1 1 X X+2 1 1 2 1 X X X+1 1 X+1 X+3 X+2 3 0 1 0 0 1 X+3 2 1 X 0 1 0 2 X+2 X+2 X X+1 X 0 3 1 1 1 2 0 0 X+3 0 X+3 X+3 1 2 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 3 2 X+1 X X 1 0 X+1 1 X+1 X+2 X+2 1 X+2 2 X+3 1 X 2 0 1 0 3 X 3 X 0 3 1 X 3 1 X+1 X+1 X+3 X 2 X+3 1 0 X+3 1 3 0 0 X X+3 X X+3 1 X+2 X+3 X+1 2 X+2 X+1 1 X+3 1 1 1 2 X+2 X+1 X 1 2 X+1 X+3 0 X+3 1 X 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 2 2 X+3 3 3 X X 1 1 1 X 2 X+3 1 X 1 X+3 X+1 3 3 X+1 3 3 X 3 2 X+1 2 X 0 X+2 X 3 0 X+1 X+2 0 0 1 X X+3 X X+1 X 0 3 1 X+1 1 X+1 0 X+2 X+2 2 2 0 X X+3 X+3 1 X+2 X+2 1 1 1 X X+1 X+2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+255x^76+554x^77+1103x^78+1542x^79+2202x^80+2882x^81+3487x^82+3828x^83+4257x^84+4802x^85+5017x^86+5578x^87+5002x^88+5038x^89+4695x^90+3888x^91+3436x^92+2520x^93+1944x^94+1352x^95+944x^96+536x^97+296x^98+178x^99+80x^100+52x^101+28x^102+16x^103+15x^104+6x^106+2x^107 The gray image is a code over GF(2) with n=348, k=16 and d=152. This code was found by Heurico 1.13 in 85.7 seconds.