Prime p₀= 2101645475048161109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 76 2 100 2 136 2 52 2 (?)
a_n: 0 2 42 44 60 62 138 140 240 242 378 380 432 434
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: 434
Found by: Landjunge
db: batch=80, k=14, 40 16 76 100 136 52

STPT(10)	2101643422930651421	0 2 6 8 48 50 90 92 96 98	-2052117509688
TPT(14)	2101643477797186109	0 2 12 14 42 44 78 80 120 122 210 212 222 224	-1997250975000
SPT(16)	2101644310701531751	0 42 60 96 148 168 172 180 238 246 250 270 322 358 376 418	-1164346629358
STPT(10)	2101644960527878061	0 2 6 8 18 20 30 32 36 38	-514520283048
SPT(16)	2101644974526127717	0 52 126 144 172 180 192 220 306 334 346 354 382 400 474 526	-500522033392
STPT(10)	2101645102812645581	0 2 36 38 78 80 120 122 156 158	-372235515528
SPT(16)	2101645766767981277	0 12 26 62 84 90 110 114 152 156 176 182 204 240 254 266	291719820168
SPT(16)	2101645795903155911	0 6 66 80 96 126 146 180 182 216 236 266 282 296 356 362	320854994802
TPT(14)	2101645974594044321	0 2 60 62 210 212 216 218 258 260 396 398 408 410	499545883212
STPT(10)	2101645991947159919	0 2 48 50 60 62 72 74 120 122	516898998810
STPT(10)	2101646218407155657	0 2 30 32 42 44 54 56 84 86	743358994548