Prime p₀= 2371970396765126501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 28 2 130 2 34 2 10 2 (?)
a_n: 0 2 66 68 78 80 108 110 240 242 276 278 288 290
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: 290
Found by: Landjunge
db: batch=81, k=14, 64 10 28 130 34 10

TPT(14)	2371969732274985671	0 2 48 50 108 110 180 182 306 308 486 488 528 530	-664490140830
SPT(16)	2371969824195510751	0 18 36 60 70 88 142 172 186 216 270 288 298 322 340 358	-572569615750
STPT(10)	2371970139525497309	0 2 30 32 120 122 210 212 240 242	-257239629192
SPT(16)	2371970163234723313	0 28 48 58 66 70 106 124 150 168 204 208 216 226 246 274	-233530403188
SPT(16)	2371970312303641537	0 12 60 76 96 102 112 124 132 144 154 160 180 196 244 256	-84461484964
SPT(16)	2371970327372942809	0 22 34 60 78 144 148 234 238 324 328 394 412 438 450 472	-69392183692
STPT(10)	2371970572446164741	0 2 6 8 18 20 30 32 36 38	175681038240
STPT(10)	2371970735230073189	0 2 42 44 60 62 78 80 120 122	338464946688
SPT(16)	2371971886348740077	0 30 54 56 96 132 152 176 210 234 254 290 330 332 356 386	1489583613576
SPT(16)	2371972011894926257	0 36 64 120 130 150 172 202 204 234 256 276 286 342 370 406	1615129799756
SPT(16)	2371972224303392173	0 16 36 60 114 144 150 268 276 394 400 430 484 508 528 544	1827538265672