The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 1 1 1 1 1 1 X 1 1 0 1 X 1 1 0 1 2 X 1 X 1 1 0 1 1 X 1 1 2 X 1 1 1 1 0 1 0 1 1 1 1 0 0 X X 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 0 2 X X X+2 2 X+2 X X+2 2 2 X 0 X X 2 X 2 X 2 2 X+2 2 0 2 X X 2 2 2 X X+2 0 X 0 2 X X+2 X X+2 X+2 X+2 X X X+2 X+2 X+2 2 X 2 X 2 X X X+2 X X X 2 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 X+2 0 2 2 X+2 X+2 0 X+2 0 2 0 X+2 X+2 2 X+2 0 X 0 0 0 2 2 X+2 X X 2 2 X+2 2 0 2 X+2 0 X+2 0 X+2 2 X+2 X 2 2 0 X X+2 0 0 X 0 X X+2 2 0 0 X+2 0 X+2 0 X X 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 2 X 0 X+2 X X X+2 2 X+2 0 0 X X X 0 2 X+2 2 0 X+2 X+2 2 2 0 X+2 2 X+2 2 X X X+2 X+2 X+2 0 0 X+2 0 2 2 X+2 X X 0 X 2 X+2 X X 2 2 2 X+2 0 X+2 0 0 0 X+2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 0 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+137x^74+257x^76+48x^77+353x^78+132x^79+454x^80+192x^81+421x^82+260x^83+437x^84+240x^85+351x^86+108x^87+235x^88+32x^89+178x^90+12x^91+114x^92+68x^94+33x^96+26x^98+4x^100+2x^106+1x^128 The gray image is a code over GF(2) with n=332, k=12 and d=148. This code was found by Heurico 1.16 in 2.11 seconds.