Prime p₀= 2871801490449750671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 66 68 96 98 126 128 138 140 168 170 198 200
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: 200
Found by: Landjunge
db: batch=82, k=14, 64 28 28 10 28 28

STPT(10)	2871799662114788231	0 2 30 32 78 80 126 128 156 158	-1828334962440
SPT(16)	2871800034192934679	0 2 38 50 104 108 120 128 204 212 224 228 282 294 330 332	-1456256815992
SPT(16)	2871800268766060319	0 8 80 84 90 128 150 204 218 272 294 332 338 342 414 422	-1221683690352
STPT(10)	2871800494186742939	0 2 78 80 120 122 162 164 240 242	-996263007732
SPT(16)	2871800832870535897	0 4 6 34 42 60 66 94 102 130 136 154 162 190 192 196	-657579214774
STPT(10)	2871801389703189701	0 2 6 8 18 20 30 32 36 38	-100746560970
STPT(12)	2871801490449750737	0 2 30 32 60 62 72 74 102 104 132 134	66
STPT(10)	2871801879649540907	0 2 24 26 42 44 60 62 84 86	389199790236
STPT(10)	2871801955240255337	0 2 24 26 42 44 60 62 84 86	464790504666
SPT(16)	2871802144001780459	0 18 32 72 92 114 210 224 228 242 338 360 380 420 434 452	653552029788
SPT(16)	2871802638174408571	0 40 70 96 100 120 132 142 180 190 202 222 226 252 282 322	1147724657900