Prime p₀= 820187852036855189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 40 2 16 2 40 2 10 2 (?)
a_n: 0 2 42 44 138 140 180 182 198 200 240 242 252 254
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: Theadalus
db: batch=73, k=14, 40 94 40 16 40 10

STPT(10)	820185934815705551	0 2 36 38 78 80 120 122 156 158	-1917221149638
TPT(14)	820186491381937451	0 2 36 38 90 92 126 128 198 200 228 230 258 260	-1360654917738
TPT(14)	820186816488634961	0 2 18 20 36 38 90 92 120 122 156 158 210 212	-1035548220228
SPT(16)	820186942242038353	0 24 30 90 118 124 160 178 240 258 294 300 328 388 394 418	-909794816836
SPT(16)	820186953671587751	0 6 42 72 86 110 120 132 140 152 162 186 200 230 266 272	-898365267438
SPT(16)	820187693455185221	0 6 20 26 62 108 138 192 206 260 290 336 372 378 392 398	-158581669968
STPT(10)	820187888545679741	0 2 6 8 48 50 90 92 96 98	36508824552
STPT(10)	820187926242519551	0 2 66 68 138 140 210 212 276 278	74205664362
STPT(10)	820188150917383511	0 2 6 8 48 50 90 92 96 98	298880528322
STPT(10)	820188478090542089	0 2 42 44 90 92 138 140 180 182	626053686900
SPT(16)	820188620886178217	0 20 60 66 116 144 156 170 186 200 212 240 290 296 336 356	768849323028