Prime p₀= 830382215128161851 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 28 2 16 2 10 2 100 2 (?)
a_n: 0 2 36 38 78 80 108 110 126 128 138 140 240 242
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: schoussi
db: batch=73, k=14, 34 40 28 16 10 100

TPT(14)	830380674018391511	0 2 36 38 66 68 96 98 120 122 168 170 198 200	-1541109770340
SPT(16)	830380878832600937	0 2 50 80 92 132 176 206 216 246 290 330 342 372 420 422	-1336295560914
SPT(16)	830381016930734377	0 12 16 36 42 64 76 82 114 120 132 154 160 180 184 196	-1198197427474
SPT(16)	830381288572173733	0 66 76 124 126 148 150 208 246 304 306 328 330 378 388 454	-926555988118
STPT(10)	830381520152492591	0 2 6 8 48 50 90 92 96 98	-694975669260
SPT(16)	830381770217513051	0 18 20 30 32 48 68 90 110 132 152 168 170 180 182 200	-444910648800
STPT(10)	830382759640082321	0 2 30 32 78 80 126 128 156 158	544511920470
STPT(10)	830382779245128677	0 2 12 14 42 44 72 74 84 86	564116966826
STPT(10)	830382781238428919	0 2 42 44 90 92 138 140 180 182	566110267068
SPT(16)	830383015699293829	0 10 24 34 64 78 90 132 310 352 364 378 408 418 432 442	800571131978
SPT(16)	830383087882816849	0 12 52 54 148 184 192 220 222 250 258 294 388 390 430 442	872754654998