The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 0 1 1 2a 2a 0 0 2a 1 1 1 2a 1 1 1 1 1 1 2a+2 1 1 1 1 2a+2 2a+2 2a 1 1 1 1 0 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 a+1 2a 3a 2a+2 2a 2a+1 a+3 2a+1 1 3 3a+1 3a+2 1 3a+2 2a+3 1 1 2 1 2 3a+3 a+3 2 1 3a+1 3a+2 3a 2a 2a+2 2a+3 0 2a+3 a+3 a 2a+2 1 1 1 3a+2 2a+3 2a+3 3 2 2a+1 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 3a+3 0 3a 3a+3 a a+3 0 1 3a+1 3a 2a+1 a+2 1 1 2a+3 2 a+2 1 3 1 a 2a+3 3a+2 3a+3 2a+2 2a+1 3a 2a+2 1 2a+3 2a+2 0 2a 3a+1 a+1 2a 3a+3 a+1 2a+1 3a 2a+3 2 1 a+2 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+1 a+2 0 2 a+3 a 3a+1 3 2a+2 2a+1 a+2 2a+1 a 3a+3 3a+2 1 3 3a+1 2a 1 a+1 2a+1 0 3a+3 3a 3a a+2 a+1 0 2a+3 1 2a+2 2a 2 3a+1 3a 2a+3 3a+1 1 3a+1 a+2 1 2a+2 3a+2 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2 2a 2a+2 2a+2 2a+2 2a 0 0 2a 2 0 2a 2a 2a+2 2 2 0 2 0 2a 2a 2a+2 2a+2 0 0 2a 2 2a+2 0 2a 2a+2 2a 2a+2 2 0 2a+2 2a 2a+2 2a+2 2a 2a+2 2a+2 2a 2 generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 155. Homogenous weight enumerator: w(x)=1x^0+348x^155+672x^156+456x^157+924x^158+2832x^159+2499x^160+1596x^161+2628x^162+7608x^163+5199x^164+3468x^165+5436x^166+14328x^167+9759x^168+5616x^169+8676x^170+20436x^171+12975x^172+8136x^173+11400x^174+26856x^175+15201x^176+9372x^177+11244x^178+22848x^179+11778x^180+5916x^181+6780x^182+11832x^183+5790x^184+2040x^185+1932x^186+3192x^187+1440x^188+264x^189+132x^190+312x^191+153x^192+24x^196+21x^200+15x^204+9x^212 The gray image is a code over GF(4) with n=232, k=9 and d=155. This code was found by Heurico 1.16 in 227 seconds.