The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 1 1 1 1 1 0 2a+2 1 0 2 1 2a 1 1 1 2a+2 1 1 1 1 2a 1 1 1 1 2a 1 1 1 1 1 1 2a+2 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a 3a+2 3a+3 1 a+1 1 1 a+1 a 1 2a 3a+3 a+2 2a+2 a 0 2a+2 1 3a 1 1 2a+3 1 a+3 2 1 1 1 2a+1 3a+3 3a+2 1 2a+2 a+1 2a 1 1 2a+1 0 2a+3 3a+3 3a+1 0 1 2a+3 3a 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a+3 a+3 3a+3 3a 3 3a+3 0 a+2 a 3a+1 a+3 2a+2 2 a+2 3a+2 1 2a 3a+1 3a+1 a+2 3a+2 2a+1 3a+2 2a 0 2 1 1 a+3 0 3a+2 a+2 2a a+1 2a+1 2a+2 a+3 a+2 2 a+1 a+2 3a a+1 2a+1 3a+1 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a+2 2a 2a+2 2a 2a 2 2a+2 2a 2 2 2a 2 2a+2 2a+2 2 2 2a 2a 0 2a 2 2a+2 0 2a 0 2a 2 0 2 2a 0 2a+2 0 0 2a 0 2a+2 0 2a 2a+2 0 2a+2 2a 2a 2a 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 2 2a 2a 0 2 2a+2 2 2a 0 2 2a+2 2a 2a+2 0 2a 2a 2a 0 2 0 2 2a 0 0 2a+2 0 2a 2a+2 2 0 2a 2 0 0 2a 2 2 2a 2a+2 2a+2 2a+2 0 2a 2 2 generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 155. Homogenous weight enumerator: w(x)=1x^0+384x^155+276x^156+516x^157+240x^158+1764x^159+912x^160+1836x^161+744x^162+3480x^163+1470x^164+2652x^165+996x^166+5724x^167+1749x^168+3612x^169+1224x^170+6936x^171+2391x^172+4428x^173+1512x^174+6780x^175+1740x^176+3828x^177+1128x^178+4296x^179+1200x^180+1236x^181+228x^182+1284x^183+315x^184+324x^185+72x^186+72x^187+90x^188+36x^192+42x^196+12x^200+3x^204+3x^208 The gray image is a code over GF(4) with n=228, k=8 and d=155. This code was found by Heurico 1.16 in 28.3 seconds.