The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 0 1 1 2 X+2 1 X+2 1 2 1 X 2 1 1 1 1 X+2 1 1 0 1 1 X+2 1 1 1 2 1 1 2 0 1 X 1 1 X+2 1 0 0 1 1 1 1 0 1 X 0 1 X+2 X 1 1 0 1 0 1 2 0 0 2 X 1 1 X+2 1 1 X 1 1 0 1 0 0 1 X+3 1 3 1 X 2 X 3 1 2 X+3 0 1 X+1 1 X+2 1 X 2 1 1 X 1 1 X X+2 X 1 0 X+3 1 0 0 X+1 1 3 X+1 1 X+2 0 1 X 3 1 3 1 1 X+1 3 X+3 3 2 3 1 X 0 1 X+2 2 0 1 3 X 3 X X 2 1 1 2 X+2 1 X+3 3 0 X+1 2 0 0 1 1 1 0 1 X X+1 X+3 X 1 X+3 X X+2 X 1 X+1 1 0 X+1 X 3 1 X+3 2 X 3 2 1 0 X+3 X+1 2 X+1 1 X X+1 3 X 0 1 0 1 1 X+1 X+3 X+3 2 X+3 X+1 0 X+2 X+2 X+3 2 1 2 3 1 X+2 X+1 1 1 X+1 0 X 1 X+1 1 1 1 0 X 1 0 X+3 0 X+1 1 2 2 0 0 0 X 0 0 2 0 2 X 0 0 0 0 X+2 X+2 X X+2 X+2 X+2 2 X+2 0 X X+2 X+2 X 0 0 X 2 2 X X X+2 0 X+2 X 2 2 X 2 2 X+2 X X X+2 2 X X+2 0 2 0 0 X+2 X+2 2 2 2 X+2 X+2 X+2 2 0 2 X X+2 X X 0 2 0 0 X X 2 0 X X X 2 0 0 0 0 0 X X+2 X+2 X+2 X 0 0 2 X X+2 2 X+2 2 X X X 0 X 0 2 X+2 0 X+2 2 0 X X+2 X+2 2 X 0 0 X+2 X+2 0 0 0 X+2 2 X X+2 2 0 2 0 X 2 X X+2 2 2 2 X X 0 2 0 2 0 X+2 0 X+2 X X 2 X+2 2 X+2 X+2 X+2 0 0 0 0 X+2 X+2 X 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+28x^72+168x^73+352x^74+600x^75+854x^76+916x^77+999x^78+1106x^79+1249x^80+1376x^81+1233x^82+1412x^83+1477x^84+1068x^85+890x^86+740x^87+590x^88+486x^89+328x^90+208x^91+136x^92+64x^93+29x^94+26x^95+12x^96+16x^97+7x^98+4x^99+5x^100+2x^102+2x^105 The gray image is a code over GF(2) with n=328, k=14 and d=144. This code was found by Heurico 1.16 in 17.2 seconds.