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 1 2 2a+2 1 1 1 1 1 1 1 2 1 1 0 1 1 1 2 1 0 1 2a+2 2 1 1 1 1 1 1 1 2a+2 1 1 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 2a+1 1 1 3a+3 3 a 3a 3a+1 a+3 1 1 2a+3 2a+2 1 2 3a+1 3a 1 a+1 1 0 1 1 3 2a+1 2a+2 a+3 2a+3 0 a+3 1 1 3a+1 3 2a+2 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+2 2a+1 3a+1 a+2 a+1 2a+1 2 3 2a+2 0 0 3a 2a+3 a a+3 2a a+1 3 1 2 3a 3a a+3 a+3 3 1 3a+2 a+3 3a+2 0 a+2 3a 2a+1 a+2 2a+3 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 0 0 0 2a 0 2a 2a+2 2 2a 2a 2a+2 2a+2 2a 2a+2 2a+2 2a 2a 2 2 2a 2a 2 2a 0 2 2a+2 2 2a 2 2a+2 2a 2a+2 2a+2 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 0 2a+2 2 2a 0 0 0 0 2 2 2a 2a+2 2 2a 0 2a+2 2 0 0 2a 2a+2 2a+2 2a 2a 2 2 2 0 2a 0 0 2 2a+2 2a 0 generates a code of length 63 over GR(16,4) who´s minimum homogenous weight is 172. Homogenous weight enumerator: w(x)=1x^0+306x^172+264x^173+588x^175+2163x^176+864x^177+1212x^179+4215x^180+1308x^181+1668x^183+6648x^184+2136x^185+2604x^187+8628x^188+2832x^189+2328x^191+9024x^192+2304x^193+2340x^195+6690x^196+1740x^197+1236x^199+2757x^200+744x^201+276x^203+408x^204+96x^205+36x^207+33x^208+42x^212+21x^216+12x^220+9x^224+3x^228 The gray image is a code over GF(4) with n=252, k=8 and d=172. This code was found by Heurico 1.16 in 18.3 seconds.