Prime p₀= 512820487101785867 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 58 2 10 2 58 2 88 2 (?)
a_n: 0 2 42 44 102 104 114 116 174 176 264 266
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: Jeff17
db: batch=71, k=12, 40 58 10 58 88

TPT(12)	512820373118351099	0 2 18 20 102 104 138 140 300 302 312 314	-113983434768
TPT(12)	512820377786794577	0 2 42 44 90 92 192 194 222 224 300 302	-109314991290
SPT(14)	512820425696300173	0 40 64 78 90 114 118 126 130 154 166 180 204 244	-61405485694
SPT(14)	512820440395596227	0 56 66 74 90 104 114 116 126 140 156 164 174 230	-46706189640
SPT(14)	512820453387382993	0 10 28 58 66 150 178 228 256 340 348 378 396 406	-33714402874
SPT(14)	512820463774630667	0 6 12 14 50 62 66 80 84 96 132 134 140 146	-23327155200
SPT(14)	512820499991458133	0 14 38 54 90 164 168 290 294 368 404 420 444 458	12889672266
SPT(14)	512820516607994851	0 16 36 42 46 58 72 76 90 102 106 112 132 148	29506208984
TPT(12)	512820525935626661	0 2 18 20 60 62 156 158 240 242 258 260	38833840794
SPT(14)	512820556256837737	0 6 16 42 72 84 90 166 172 184 214 240 250 256	69155051870
SPT(14)	512820567461408993	0 24 66 98 108 140 194 210 264 296 306 338 380 404	80359623126