Prime p₀= 2420296956666700037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 58 2 10 2 16 2 40 2 (?)
a_n: 0 2 84 86 120 122 180 182 192 194 210 212 252 254
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: JayPi
db: batch=82, k=14, 82 34 58 10 16 40

SPT(16)	2420295620867138621	0 6 48 50 90 96 126 150 176 200 230 236 276 278 320 326	-1335799561416
TPT(14)	2420295627957112649	0 2 18 20 30 32 72 74 78 80 132 134 162 164	-1328709587388
STPT(10)	2420296312938171719	0 2 18 20 30 32 42 44 60 62	-643728528318
SPT(16)	2420296499622103699	0 24 48 90 108 130 150 160 168 178 198 220 238 280 304 328	-457044596338
SPT(16)	2420296742432787677	0 26 32 60 90 96 162 180 182 200 266 272 302 330 336 362	-214233912360
SPT(16)	2420296821642095057	0 12 54 102 104 180 182 194 252 264 266 342 344 392 434 446	-135024604980
TPT(14)	2420297150634836951	0 2 30 32 36 38 90 92 156 158 210 212 228 230	193968136914
SPT(16)	2420297197800487457	0 36 44 50 60 62 72 84 92 104 114 116 126 132 140 176	241133787420
SPT(16)	2420297359094319241	0 10 42 78 108 130 162 172 186 196 228 250 280 316 348 358	402427619204
STPT(10)	2420297566700314121	0 2 6 8 18 20 30 32 36 38	610033614084
SPT(16)	2420297871911037941	0 26 56 132 140 146 186 188 300 302 342 348 356 432 462 488	915244337904