The generator matrix 1 0 0 0 0 1 1 1 X+2 X 1 X+2 1 0 1 1 1 1 1 X 1 2 1 X 2 1 X X 1 1 1 0 1 2 1 X 1 0 1 1 0 1 0 1 X+2 1 2 1 0 2 1 X 1 X+2 2 1 1 1 0 X+2 1 1 1 1 1 0 X+2 X X+2 2 1 0 0 2 1 1 2 0 1 2 1 0 X 1 1 X 2 1 X+2 1 0 1 0 0 0 X 2 X+2 X 1 3 1 X+1 1 3 3 0 0 3 1 X+2 1 2 1 0 X+3 1 0 X+1 X+1 X+2 0 2 2 X+3 1 3 1 X+2 1 1 2 X+2 1 2 0 1 X+3 0 X+2 1 1 1 2 1 X X+3 2 1 X 3 0 3 2 X+1 X X+2 1 X+2 1 2 X X 1 3 X+2 1 2 0 X+2 X+2 0 1 X X+1 1 1 3 1 3 0 0 1 0 0 0 0 0 2 0 2 0 0 2 2 0 1 3 1 X+3 X+1 3 X+3 X+3 1 X+1 X+3 1 1 3 3 1 X+1 X+2 1 X+2 X+2 X+3 0 X+3 3 1 1 X X+2 X+2 2 3 1 1 X+2 0 X+2 X+2 3 X+1 2 3 X+3 1 X+1 2 X+3 2 X 1 X+2 X+1 1 X+2 X+3 X X 2 X+1 3 X+2 X X+2 0 X+1 1 2 3 0 2 3 0 X+3 X+3 0 0 0 1 0 0 3 1 1 3 1 X+2 X+2 X+3 X X+1 2 3 X+2 X 3 1 0 2 3 X+1 3 X+3 2 X+1 X X+2 X+3 1 X+3 X+2 X X+3 3 X 0 X 2 1 X+2 X+3 X+2 X+2 X+1 X X+1 0 2 1 0 2 3 X+3 3 X+2 0 X+3 2 0 1 0 0 X+3 X+2 0 X 1 1 3 X+3 X+3 X 1 X+1 1 1 0 1 2 3 2 X 1 X+1 1 0 0 0 0 1 1 1 X 3 X+2 1 X+3 X+2 3 X+3 X 3 X X+2 3 X+1 3 2 X 1 3 X+2 X X+3 0 X+1 X+3 0 X X+3 X+1 X+2 X+2 X+3 0 X+1 0 0 X+2 1 X+2 X+2 X+1 0 X+1 2 X+1 X+3 X+1 X+2 X+2 3 X+1 X 2 3 X X X+2 X+3 X+2 1 X+3 X+1 X X+3 X 3 1 X+1 X+3 X+3 2 X X+2 X+2 X X 2 X+3 X+2 0 X+3 3 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+314x^79+590x^80+1166x^81+1673x^82+2350x^83+2822x^84+3378x^85+3551x^86+4398x^87+4816x^88+5190x^89+4953x^90+5350x^91+4698x^92+4724x^93+3904x^94+3450x^95+2541x^96+1974x^97+1351x^98+930x^99+612x^100+390x^101+172x^102+134x^103+48x^104+38x^105+11x^106+2x^107+4x^109+1x^134 The gray image is a code over GF(2) with n=360, k=16 and d=158. This code was found by Heurico 1.13 in 89.4 seconds.