Prime p₀= 2161510907486944829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 64 2 40 2 46 2 10 2 (?)
a_n: 0 2 48 50 102 104 168 170 210 212 258 260 270 272
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: 272
Found by: Landjunge
db: batch=81, k=14, 46 52 64 40 46 10

STPT(10)	2161510210788707351	0 2 126 128 138 140 150 152 276 278	-696698237478
SPT(16)	2161510226222663429	0 12 14 38 92 102 122 152 210 240 260 270 324 348 350 362	-681264281400
SPT(16)	2161510259085387031	0 16 90 120 136 142 150 162 196 208 216 222 238 268 342 358	-648401557798
STPT(10)	2161510362264380399	0 2 18 20 30 32 42 44 60 62	-545222564430
TPT(14)	2161510490540610071	0 2 36 38 78 80 120 122 168 170 198 200 210 212	-416946334758
STPT(10)	2161510649562923201	0 2 6 8 48 50 90 92 96 98	-257924021628
SPT(16)	2161511116993257989	0 38 78 84 114 120 164 168 194 198 242 248 278 284 324 362	209506313160
SPT(16)	2161511259778454159	0 20 24 30 60 104 108 114 158 164 168 212 242 248 252 272	352291509330
SPT(16)	2161511602128063793	0 6 18 40 58 60 76 88 126 138 154 156 174 196 208 214	694641118964
SPT(16)	2161511767315998557	0 12 26 36 54 62 74 116 210 252 264 272 290 300 314 326	859829053728
SPT(16)	2161511810889441589	0 22 64 88 94 102 144 148 174 178 220 228 234 258 300 322	903402496760