The generator matrix 1 0 0 0 0 1 1 1 1 2 1 1 1 1 X+2 1 1 2 X 1 X+2 0 0 X 1 1 0 X+2 1 1 X+2 X 1 2 1 2 1 1 1 1 1 1 X X 1 2 1 1 2 0 1 1 1 1 1 X+2 0 X+2 X+2 0 2 0 X+2 2 2 X X 0 2 2 0 1 1 1 1 X 1 1 1 1 1 1 2 1 0 2 1 1 1 0 1 0 0 0 0 X+1 2 X+3 1 X 0 2 3 1 X+3 1 1 1 1 X 1 1 1 X+2 X X 2 1 X+3 X X+2 X+2 X 1 0 X+3 X+2 1 X+1 X 3 1 1 X+1 0 X+3 3 1 1 2 0 1 X+3 X+3 X+2 1 2 0 X 1 1 1 0 1 X 1 2 1 1 1 0 2 X+2 0 0 X+1 X+2 3 0 3 2 1 X X+2 0 X 3 0 0 0 1 0 0 0 1 3 X 1 1 X+2 1 X 3 X+3 X+1 0 3 2 2 1 X X+2 X+3 2 1 1 3 2 1 1 0 0 2 0 X+2 X+1 1 X+1 X+3 3 2 X+3 1 1 2 X+2 X+3 1 X+2 X+2 X X+2 2 1 2 1 1 2 3 X+1 3 1 3 X+2 0 1 X 1 X+3 3 X+1 X+2 X+2 X+2 3 X+2 3 3 2 X+3 X+1 X+3 0 1 3 0 0 0 0 0 1 0 1 2 1 X+1 1 X+2 2 X+3 X X 3 0 X+1 3 X+2 1 0 X+1 2 0 1 X+3 1 1 X+1 X+2 X+3 X+3 2 3 1 2 X+2 X+3 X+2 0 X+3 0 2 0 X+1 X+2 3 1 X+1 1 0 0 X+3 X+2 0 1 3 X 2 X+1 0 0 3 1 1 X+3 X+1 2 X+3 X X+3 X+2 3 X+3 1 X 3 X X+1 2 X+2 X+2 X X 0 X+1 X+1 0 0 0 0 0 1 1 3 0 2 1 0 1 X+1 X+3 1 3 X X X+2 2 3 X X+3 1 1 X+2 X 1 2 X+3 1 X+2 2 1 3 X+2 3 1 X+2 X+3 X X+1 1 3 0 1 2 0 0 X+1 X+3 X+2 1 1 X X+3 X+2 0 0 1 X+3 3 X X X+1 1 0 X+3 X 0 X 1 X+1 X X+2 1 2 3 X 3 2 3 1 X+3 1 X+1 X 3 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 X X+2 X+2 X+2 X X+2 X+2 X+2 X+2 X X+2 X X X X+2 X X 2 X X+2 X X X+2 2 X X+2 X X+2 2 2 X X+2 X+2 X X X 0 X 2 0 X 0 2 X 2 0 X 2 X X+2 0 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+65x^76+362x^77+830x^78+1578x^79+2191x^80+2994x^81+4079x^82+5090x^83+6427x^84+7472x^85+8497x^86+9826x^87+10374x^88+10612x^89+10680x^90+10196x^91+9214x^92+7610x^93+6554x^94+5230x^95+3768x^96+2764x^97+1761x^98+1200x^99+777x^100+398x^101+207x^102+140x^103+70x^104+38x^105+32x^106+18x^107+5x^108+6x^109+2x^111+4x^112 The gray image is a code over GF(2) with n=356, k=17 and d=152. This code was found by Heurico 1.13 in 317 seconds.