Prime p₀= 2727127169715810527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 46 2 82 2 16 2 28 2 (?)
a_n: 0 2 24 26 72 74 120 122 204 206 222 224 252 254
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: 254
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 22 46 46 82 16 28

STPT(10)	2727125988982518857	0 2 24 26 42 44 60 62 84 86	-1180733291670
SPT(18)	2727126051142231279	0 10 30 34 58 78 94 132 154 198 220 258 274 294 318 322 342 352	-1118573579248
SPT(16)	2727126219339967979	0 18 42 44 62 108 144 158 174 188 224 270 288 290 314 332	-950375842548
SPT(16)	2727126285069174127	0 10 34 40 76 90 126 144 166 184 220 234 270 276 300 310	-884646636400
SPT(16)	2727126403625158861	0 22 46 78 106 112 118 162 166 210 216 222 250 282 306 328	-766090651666
STPT(10)	2727126532529252039	0 2 42 44 90 92 138 140 180 182	-637186558488
STPT(10)	2727127727390127167	0 2 30 32 42 44 54 56 84 86	557674316640
SPT(16)	2727128001938759843	0 84 134 140 210 254 260 270 284 294 300 344 414 420 470 554	832222949316
SPT(16)	2727128245056929029	0 18 64 70 78 84 138 142 150 154 208 214 222 228 274 292	1075341118502
SPT(16)	2727128544485559241	0 40 46 58 60 88 112 118 150 156 180 208 210 222 228 268	1374769748714
SPT(16)	2727128936899019557	0 6 36 66 142 144 156 204 352 400 412 414 490 520 550 556	1767183209030