Prime p₀= 2116119523724155427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 40 2 106 2 46 2 40 2 (?)
a_n: 0 2 102 104 132 134 174 176 282 284 330 332 372 374
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: 374
Found by: Landjunge
db: batch=80, k=14, 100 28 40 106 46 40

STPT(10)	2116118054793355757	0 2 42 44 72 74 102 104 144 146	-1468930799670
SPT(16)	2116118206157479487	0 56 90 150 152 162 242 260 276 294 374 384 386 446 480 536	-1317566675940
SPT(16)	2116118722331575067	0 12 42 54 56 84 126 182 204 260 302 330 332 344 374 386	-801392580360
SPT(16)	2116118904095354447	0 2 6 66 90 102 186 204 212 230 314 326 350 410 414 416	-619628800980
SPT(16)	2116119173031862421	0 42 92 96 128 150 152 212 246 306 308 330 362 366 416 458	-350692293006
SPT(16)	2116119322872687367	0 42 46 72 96 100 112 124 162 174 186 190 214 240 244 286	-200851468060
STPT(10)	2116119527132467061	0 2 6 8 18 20 30 32 36 38	3408311634
SPT(16)	2116119763454134591	0 52 76 90 96 130 196 238 240 282 348 382 388 402 426 478	239729979164
TPT(14)	2116120091163093269	0 2 18 20 60 62 78 80 132 134 258 260 270 272	567438937842
SPT(16)	2116120422579447797	0 2 62 66 80 140 186 204 212 230 276 336 350 354 414 416	898855292370
SPT(16)	2116120506586184533	0 24 40 58 66 84 130 154 180 204 250 268 276 294 310 334	982862029106