The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 2 1 1 0 1 1 0 1 1 1 X 1 1 0 1 1 0 1 X 1 1 1 1 1 1 2 X+2 0 1 1 1 X X+2 1 X 1 1 1 1 1 2 1 1 1 1 1 1 1 0 2 1 X 0 1 1 1 1 X+2 1 X 0 1 1 0 1 1 X X+3 1 X+2 X+3 1 1 2 X+1 1 X+3 X 1 0 X+3 1 1 0 3 1 X+2 2 1 X 1 3 3 X+3 X X+2 X+2 1 1 1 X+1 X X+1 1 1 1 1 X X+2 2 1 X+3 1 X X+1 3 X+1 3 0 X+2 1 2 2 1 1 2 1 X+3 1 1 0 X+2 0 0 X 0 0 0 0 0 0 0 X+2 2 X+2 X 2 X X X 2 X+2 X X X+2 X+2 2 X 0 X+2 X+2 X 0 2 0 X X X+2 0 X+2 X+2 2 2 X X+2 0 0 2 X+2 2 X 0 0 X+2 X 2 X+2 2 2 X+2 2 X X+2 2 2 X+2 2 2 0 0 2 X+2 X 0 0 0 0 X 0 0 X 2 0 0 0 0 0 X X X X+2 2 X+2 0 X+2 2 X+2 X+2 2 0 X 2 X 2 X+2 X X+2 2 X X+2 X 0 X X+2 0 X X+2 2 X 0 0 0 X+2 2 X X X 0 2 X+2 X X+2 X+2 X 0 X X+2 2 0 2 X+2 X X+2 X 2 2 0 0 0 0 X 0 0 X+2 X+2 2 2 X+2 2 X+2 X+2 2 2 X X X X X+2 X 0 0 X+2 X+2 0 X+2 0 0 2 X+2 X+2 X 0 X+2 0 2 2 0 X 0 X+2 X 0 X 2 0 X+2 2 X 2 X 2 2 0 X X X+2 X X 0 2 X+2 X X+2 X+2 X X+2 X 2 0 0 0 0 0 2 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 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+171x^62+24x^63+514x^64+148x^65+946x^66+364x^67+1493x^68+672x^69+2024x^70+884x^71+2180x^72+800x^73+1964x^74+628x^75+1480x^76+400x^77+769x^78+148x^79+386x^80+28x^81+224x^82+79x^84+44x^86+6x^88+2x^90+4x^92+1x^96 The gray image is a code over GF(2) with n=288, k=14 and d=124. This code was found by Heurico 1.16 in 17.6 seconds.