Prime p₀= 2871502010224101257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 64 2 10 2 46 2 70 2 (?)
a_n: 0 2 42 44 54 56 120 122 132 134 180 182 252 254
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: Landjunge
db: batch=82, k=14, 40 10 64 10 46 70

STPT(10)	2871500204228873351	0 2 36 38 78 80 120 122 156 158	-1805995227906
STPT(10)	2871500255726665217	0 2 30 32 72 74 114 116 144 146	-1754497436040
STPT(10)	2871500611455315737	0 2 42 44 72 74 102 104 144 146	-1398768785520
SPT(16)	2871500703481657237	0 4 12 30 42 70 72 102 124 154 156 184 196 214 222 226	-1306742444020
SPT(16)	2871501036741155939	0 14 120 150 200 242 278 332 390 444 480 522 572 602 708 722	-973482945318
STPT(12)	2871501078525587861	0 2 6 8 66 68 150 152 210 212 216 218	-931698513396
SPT(16)	2871502088631185599	0 10 58 84 88 100 108 118 210 220 228 240 244 270 318 328	78407084342
SPT(16)	2871502349023087667	0 44 60 84 86 114 144 170 180 206 236 264 266 290 306 350	338798986410
SPT(16)	2871503406824927209	0 12 18 40 100 114 144 174 208 238 268 282 342 364 370 382	1396600825952
STPT(10)	2871503643629487827	0 2 72 74 102 104 132 134 204 206	1633405386570
STPT(10)	2871504252717001007	0 2 30 32 42 44 54 56 84 86	2242492899750