Prime p₀= 2082102424440813221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 76 2 16 2 178 2 40 2 (?)
a_n: 0 2 18 20 30 32 108 110 126 128 306 308 348 350
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: 350
Found by: Landjunge
db: batch=80, k=14, 16 10 76 16 178 40

SPT(16)	2082100961068889249	0 14 30 38 42 48 84 108 164 188 224 230 234 242 258 272	-1463371923972
TPT(14)	2082101281811011037	0 2 90 92 222 224 300 302 360 362 384 386 432 434	-1142629802184
SPT(16)	2082101368188664051	0 6 48 52 76 78 102 118 120 136 160 162 186 190 232 238	-1056252149170
STPT(12)	2082101776053922409	0 2 12 14 42 44 48 50 78 80 90 92	-648386890812
STPT(12)	2082102294617678897	0 2 42 44 54 56 90 92 102 104 144 146	-129823134324
SPT(20)	2082102321666382621	0 6 12 72 90 100 112 126 132 162 166 196 202 216 228 238 256 316 322 328	-102774430600
STPT(10)	2082102483712981151	0 2 36 38 78 80 120 122 156 158	59272167930
STPT(10)	2082102761533810859	0 2 18 20 30 32 42 44 60 62	337092997638
STPT(10)	2082102772554545339	0 2 18 20 30 32 42 44 60 62	348113732118
SPT(16)	2082103365842626307	0 20 30 56 86 90 132 180 272 320 362 366 396 422 432 452	941401813086
STPT(10)	2082103625876621507	0 2 30 32 42 44 54 56 84 86	1201435808286