The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 2 1 1 X 1 1 X+2 1 2 1 X 1 1 1 X 0 1 1 1 X 1 1 0 1 1 1 1 2 1 0 X+2 1 2 1 X+2 2 1 1 1 1 1 1 1 2 1 X X 1 X+2 1 1 1 1 X 0 X 1 1 1 0 1 1 0 X+1 1 X X+3 1 X+2 1 3 0 X+1 1 2 X+1 1 X 3 1 X 1 1 X+1 1 0 1 X+1 X 1 1 1 X+1 X 2 1 1 X+3 1 0 0 X+3 0 1 X+2 1 1 X+2 1 X+3 1 1 X+3 X+1 X 1 0 X+1 X 2 X 1 2 1 1 0 1 2 X+3 2 1 X X 2 0 0 0 X X+2 0 X+2 X X+2 X 0 2 0 2 0 0 X X+2 X+2 X 0 X 0 X 2 2 X+2 0 0 2 X 0 X+2 0 0 X+2 X+2 2 X+2 X 0 2 X+2 X 0 X 2 X X+2 0 X+2 2 2 X 0 X X+2 X X X+2 X+2 X 0 0 X 2 X+2 0 2 X+2 X+2 X+2 X X+2 X+2 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 2 0 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+37x^64+38x^65+103x^66+210x^67+278x^68+592x^69+498x^70+1042x^71+676x^72+1432x^73+1006x^74+1798x^75+1072x^76+1806x^77+913x^78+1546x^79+727x^80+1018x^81+402x^82+458x^83+223x^84+208x^85+102x^86+50x^87+46x^88+24x^89+34x^90+14x^91+10x^92+2x^93+6x^94+2x^95+1x^96+7x^98+1x^100+1x^110 The gray image is a code over GF(2) with n=304, k=14 and d=128. This code was found by Heurico 1.16 in 18.4 seconds.