The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 1 0 1 1 X+2 1 1 1 X+2 X X 1 X X+2 1 1 2 2 1 2 1 1 1 X 1 1 1 1 1 1 0 0 1 0 1 1 X+2 1 1 1 X 0 2 X 1 1 1 1 1 X 1 X 1 2 1 1 1 X 1 0 2 0 1 1 1 X 0 X 1 0 1 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 X+1 1 X 3 1 0 X+3 X 0 2 X X+3 1 1 X+3 2 1 1 X+2 1 1 X+2 X+1 0 X+1 2 X+2 X+1 2 X+3 1 X+2 2 1 X+3 3 1 0 X 3 0 0 1 X+2 3 0 0 0 1 1 X+3 2 X+1 1 0 X+1 X 1 2 1 1 1 X+2 1 X 1 2 1 X X+2 1 3 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 X 2 2 1 0 3 1 0 1 1 X+2 X X+3 1 X X+3 1 X+3 X+1 X+2 1 0 1 1 X+3 X+2 3 1 X+3 0 3 X X+2 0 X+3 X X+1 X+1 X 1 1 1 2 1 X+2 1 X+1 2 3 X+2 X+1 1 0 0 X+3 1 2 X+2 0 X+2 2 3 0 2 X+2 0 X 2 1 X+2 3 3 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 1 X 0 X+3 1 X+3 X+2 1 3 X 1 X+2 X+3 X X+3 X+2 X+3 3 3 3 X X+1 X+1 3 X+3 2 3 0 0 2 0 1 X+3 2 1 X+1 X+2 1 X 3 0 1 3 3 X+1 X+2 X+1 3 1 X+1 X+2 X+1 X+3 X X+3 1 X 0 2 1 1 2 1 X+2 2 X 1 X+2 1 1 1 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+196x^79+373x^80+746x^81+738x^82+1070x^83+1008x^84+1198x^85+1189x^86+1210x^87+1261x^88+1284x^89+1174x^90+1200x^91+864x^92+884x^93+580x^94+484x^95+274x^96+258x^97+136x^98+108x^99+48x^100+40x^101+23x^102+18x^103+11x^104+4x^105+2x^107+2x^109 The gray image is a code over GF(2) with n=352, k=14 and d=158. This code was found by Heurico 1.16 in 16.9 seconds.