The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 0 X 0 1 1 1 1 2 2 1 X+2 1 1 1 1 1 0 X+2 X 0 1 1 2 1 1 1 X+2 1 2 2 X 1 1 1 1 2 1 1 1 X X+2 2 X+2 1 X+2 1 1 1 1 1 2 1 0 1 1 X+2 X 1 1 2 0 1 0 0 1 X+3 1 3 1 X 2 X 3 1 X+2 1 X+2 X+3 X+2 3 1 X X 1 3 X+1 X+2 X 0 1 1 X+2 1 X+1 X+3 X 1 0 X+2 1 2 1 0 1 3 X 3 X 1 X+1 X+1 X+3 1 1 2 1 0 1 3 X+2 1 1 X+2 1 X+2 1 0 X+1 1 1 1 3 0 0 0 1 1 1 0 1 X X+1 X+3 X 1 X+3 X 1 X+1 X+2 X X+1 X+3 X 1 3 X+3 1 X 0 3 0 2 X+1 1 X 2 X+1 1 1 X+2 2 X+2 3 3 1 1 X 3 X+3 1 2 X+2 0 X+1 2 1 1 3 X+3 3 X+3 2 3 X 2 1 X X+2 X+2 X+2 2 X+1 X X+2 1 0 0 0 X 0 0 2 0 2 X 0 0 0 0 0 2 0 0 X 2 2 0 X+2 0 2 0 2 X X X X X+2 X X X+2 X X X X+2 X+2 0 2 X+2 0 X X+2 X 2 X 2 X X X+2 X 2 X+2 2 X+2 X 2 0 2 X+2 2 X X X+2 X 0 2 2 2 0 0 0 0 0 X X+2 X+2 X+2 X 0 0 2 X X+2 X+2 0 X+2 2 X 2 0 X X+2 0 0 X X+2 2 X X+2 0 X 2 0 X+2 0 2 2 0 2 X X 0 X+2 X+2 2 2 X 0 X 2 X X+2 X+2 0 X X+2 0 0 0 X X X+2 2 X X 0 X+2 2 0 0 2 X+2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+156x^64+240x^65+596x^66+596x^67+1060x^68+908x^69+1418x^70+1136x^71+1502x^72+1344x^73+1506x^74+1236x^75+1269x^76+988x^77+890x^78+488x^79+480x^80+152x^81+192x^82+64x^83+75x^84+16x^85+32x^86+29x^88+6x^90+4x^92 The gray image is a code over GF(2) with n=292, k=14 and d=128. This code was found by Heurico 1.16 in 14.2 seconds.