The generator matrix 1 0 1 1 1 2 1 1 0 0 1 1 1 0 1 2 1 1 0 1 1 1 0 1 1 X 1 X 1 X 1 1 X 1 1 1 1 1 0 1 1 X 1 1 1 1 1 2 1 0 X 1 1 1 0 0 X 0 1 1 2 1 1 X+2 X X X+2 1 1 1 1 1 X+2 1 2 2 X 1 1 1 1 1 1 2 2 1 0 1 1 1 1 X+2 1 0 X+2 1 X 1 0 1 1 0 1 1 2 X+1 1 1 0 X+3 3 1 0 1 2 1 1 1 0 3 1 X X+1 1 X 1 X+3 1 X X+1 1 0 3 X+1 X+2 X+1 1 X+3 0 1 X+1 X X+1 X 3 1 3 1 1 2 1 1 1 1 1 1 X+1 3 1 X+3 X+1 1 1 1 1 X X+3 0 X+2 X+3 1 1 0 X 1 X+3 1 X 0 3 2 X 1 X+1 1 1 X+1 X X+1 1 0 1 1 0 1 2 0 0 X 0 0 0 0 2 2 2 0 0 2 X X+2 X+2 X X+2 X+2 X X+2 X+2 X+2 X+2 X+2 2 0 X+2 X+2 0 2 0 0 X+2 0 0 X+2 X+2 2 2 2 X X+2 0 X+2 2 X+2 2 0 X+2 X X+2 X X+2 X+2 2 X+2 2 X+2 2 2 0 X X 2 0 X+2 0 X+2 0 X X 2 X 2 X+2 X+2 0 0 X+2 X X+2 0 X 2 0 X X+2 X 2 X 2 2 X+2 0 0 2 X+2 0 0 0 X 0 0 2 2 X X X+2 X+2 X+2 X+2 2 X+2 X+2 X+2 2 X X 0 0 0 X+2 0 0 2 X 2 0 2 X+2 X+2 X+2 0 2 X X X X+2 X+2 0 X 0 X+2 X+2 2 X+2 X+2 0 2 2 X+2 2 X+2 X+2 0 X+2 2 X+2 X 2 2 X+2 0 0 X 0 X+2 X+2 0 0 X+2 2 X X X 2 2 2 X 0 0 0 0 2 0 0 X 0 X X 2 X+2 0 2 2 0 0 0 0 X X+2 X+2 2 X+2 0 X+2 0 X 2 X+2 X+2 X 0 X X+2 2 X 2 2 2 X+2 X+2 X+2 X 2 2 X 0 X X 2 X 0 X X 0 X 0 0 X+2 X+2 X+2 0 2 X X+2 2 X 2 0 0 0 0 X+2 X 2 X+2 0 0 X X 2 X 2 2 X X 2 0 X X+2 X 0 X 2 X+2 2 2 X 2 0 0 2 X+2 0 2 2 X+2 2 X X+2 X X+2 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+56x^90+180x^91+252x^92+294x^93+287x^94+316x^95+342x^96+290x^97+299x^98+286x^99+312x^100+254x^101+217x^102+230x^103+136x^104+112x^105+68x^106+46x^107+32x^108+16x^109+20x^110+8x^111+6x^112+4x^113+9x^114+4x^115+4x^116+4x^117+2x^118+2x^119+1x^120+2x^121+1x^122+2x^124+1x^138 The gray image is a code over GF(2) with n=392, k=12 and d=180. This code was found by Heurico 1.16 in 1.88 seconds.