Prime p₀= 2850591723878242037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 40 2 64 2 22 2 16 2 (?)
a_n: 0 2 24 26 72 74 114 116 180 182 204 206 222 224
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 224
Found by: Odd-Rod
db: batch=82, k=14, 22 46 40 64 22 16

STPT(10)	2850590759029067111	0 2 36 38 78 80 120 122 156 158	-964849174926
SPT(16)	2850590923077616307	0 26 50 92 102 176 222 242 354 374 420 494 504 546 570 596	-800800625730
TPT(14)	2850591198459550289	0 2 30 32 42 44 198 200 282 284 408 410 468 470	-525418691748
TPT(14)	2850591396279163907	0 2 12 14 30 32 54 56 102 104 210 212 240 242	-327599078130
SPT(16)	2850591463303397741	0 2 36 48 56 78 90 92 96 98 110 132 140 152 186 188	-260574844296
STPT(10)	2850591607560170429	0 2 42 44 90 92 138 140 180 182	-116318071608
STPT(10)	2850591947051245091	0 2 30 32 60 62 90 92 120 122	223173003054
SPT(16)	2850591970646079827	0 6 14 30 56 60 90 96 104 110 140 144 170 186 194 200	246767837790
STPT(10)	2850592194202961237	0 2 30 32 42 44 54 56 84 86	470324719200
SPT(16)	2850592371008442871	0 10 12 48 82 142 178 198 220 240 276 336 370 406 408 418	647130200834
STPT(12)	2850592466767853807	0 2 30 32 42 44 72 74 84 86 114 116	742889611770