Prime p₀= 996806646556302779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 34 2 82 2 4 2 40 2 (?)
a_n: 0 2 30 32 72 74 108 110 192 194 198 200 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 28 40 34 82 4 40

STPT(10)	996805885401485849	0 2 18 20 30 32 42 44 60 62	-761154816930
SPT(16)	996806062750931143	0 16 18 34 46 60 64 120 154 210 214 228 240 256 258 274	-583805371636
TPT(14)	996806079208957889	0 2 18 20 48 50 132 134 240 242 252 254 282 284	-567347344890
SPT(16)	996806142488945443	0 18 36 40 54 58 64 124 270 330 336 340 354 358 376 394	-504067357336
SPT(16)	996806410497990761	0 32 56 60 86 110 120 132 140 152 162 186 212 216 240 272	-236058312018
SPT(16)	996806429361085883	0 50 74 114 128 150 170 194 210 234 254 276 290 330 354 404	-217195216896
SPT(16)	996806761006224191	0 30 38 48 56 122 126 156 182 212 216 282 290 300 308 338	114449921412
SPT(16)	996806975851617551	0 56 62 78 80 108 122 140 168 186 200 228 230 246 252 308	329295314772
STPT(10)	996807322480104407	0 2 30 32 42 44 54 56 84 86	675923801628
STPT(10)	996807375961622387	0 2 30 32 42 44 54 56 84 86	729405319608
SPT(16)	996807521600824009	0 4 10 18 52 82 88 102 220 234 240 270 304 312 318 322	875044521230