The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2a 0 1 1 1 1 2 1 1 1 1 2a 1 1 1 1 1 0 1 0 1 1 1 2a 1 2 2a+2 1 1 2a+2 2 1 1 1 1 1 1 1 2 0 1 1 2a+2 1 2a 1 1 1 1 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 2a 2a+3 3a+3 2a 1 1 3a 2 a+2 a 1 a 2a+3 3a+3 2a+1 2a+2 a 2a+2 3 3a+1 2a+1 1 2a+1 1 a+2 2a+1 3a+2 1 0 1 1 0 3a+3 1 1 2a+3 1 2a+2 a 2a+1 a+3 a 1 1 2 2a+2 1 a 1 2a+2 3a 2a+2 2a+1 3a 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 a 0 3 2 2a+1 2a+3 2a 2a+3 3a 0 a+2 3a+1 0 2 2a+3 1 a+3 3a+2 a 3a+2 3a+1 3a+3 a+1 2 a+1 a+2 1 a+1 3a+1 3a a+1 a+2 3 3a+2 3a+1 2a+2 3 2 2a+3 2a+2 1 3a+1 0 3a+1 a+3 a+2 2a a 2a 1 0 2 2a 2 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 3a+3 2 2a+2 3a a+2 1 2a+1 2a+3 2a a+1 2a 1 1 2a+1 3a+3 3a a+3 2a+3 a 2a+2 2a+3 a+2 a+3 2a+1 3a 2a+1 3a+1 2a a a+3 2a+2 2 3 1 a+3 2a+2 2 3 3a 3a a+3 2a+2 1 1 3a+1 1 a+2 3a+2 a 2a+2 2a+1 a+3 3a+2 a+2 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2a+2 2 0 2a 2a 2a+2 0 2a+2 2a 2a+2 2 2 0 2a+2 2a+2 2 2a 2a+2 2a+2 0 0 2 2 2 2 2 2a 0 2a+2 2 2a+2 2 2 2a 2a 2a+2 2a 2a 2a 2a 0 2a 0 0 0 0 2a 2a 2a+2 0 0 2a+2 2 2 generates a code of length 69 over GR(16,4) who´s minimum homogenous weight is 187. Homogenous weight enumerator: w(x)=1x^0+228x^187+912x^188+588x^189+1332x^190+1416x^191+3936x^192+1980x^193+3372x^194+2892x^195+7416x^196+4356x^197+5832x^198+5808x^199+12660x^200+6804x^201+9348x^202+8172x^203+18105x^204+9168x^205+12864x^206+10008x^207+22392x^208+11328x^209+12996x^210+10524x^211+19794x^212+9012x^213+9768x^214+6432x^215+12075x^216+4740x^217+4524x^218+2880x^219+4275x^220+1068x^221+1308x^222+720x^223+675x^224+108x^225+96x^226+72x^227+75x^228+42x^232+12x^236+24x^240+3x^244+3x^248 The gray image is a code over GF(4) with n=276, k=9 and d=187. This code was found by Heurico 1.16 in 251 seconds.