The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 2 1 1 0 2 1 1 X 1 1 X+2 1 1 1 1 X X 1 1 2 X+2 1 1 1 2 X+2 1 1 2 X 1 X 0 1 X X 1 1 0 1 X X+2 1 1 1 1 1 0 X 1 1 2 1 1 0 1 1 X+2 X 1 0 1 1 1 1 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 1 X+3 2 1 1 0 X+1 1 X+3 0 X X+1 1 0 X+2 X+2 0 1 X X 1 2 X 3 1 1 2 3 X 1 X X+2 1 X+1 1 1 X+2 3 X 2 1 X X+3 X+3 X+1 X+2 3 0 1 3 0 0 X X 1 X+3 3 X X X+2 1 1 3 X+3 0 2 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 0 0 X 1 X X X+3 X+3 1 X+3 X+2 2 X+3 X+1 1 1 1 3 1 2 0 0 X X+1 0 X+1 0 X 1 3 3 0 X+1 2 3 1 3 X+2 1 2 2 X 3 X X+3 1 0 0 2 X+3 X+3 X+2 3 0 X+2 2 3 X+2 1 X+3 X+2 X+2 3 X+2 3 2 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 X+2 X+2 X+2 0 1 X+3 X+1 3 2 1 1 X+3 3 X X+1 3 X X 0 1 2 X 3 2 X+1 1 X+2 1 X+1 2 2 1 2 0 1 X+1 3 X X+2 X+3 X 1 0 X+1 X+1 X+2 2 1 1 X+3 3 1 1 1 3 3 3 1 1 X+2 X+1 0 1 X+2 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 0 2 0 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+122x^73+335x^74+672x^75+703x^76+1142x^77+931x^78+1400x^79+1140x^80+1410x^81+1171x^82+1346x^83+1097x^84+1330x^85+738x^86+942x^87+561x^88+498x^89+304x^90+222x^91+130x^92+90x^93+38x^94+26x^95+14x^96+10x^97+2x^98+2x^100+6x^101+1x^102 The gray image is a code over GF(2) with n=328, k=14 and d=146. This code was found by Heurico 1.16 in 15.5 seconds.