Prime p₀= 2057298848774337149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 16 2 118 2 100 2 106 2 (?)
a_n: 0 2 48 50 60 62 78 80 198 200 300 302 408 410
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: 410
Found by: ChUcK
db: batch=80, k=14, 46 10 16 118 100 106

SPT(16)	2057296675914080897	0 6 24 32 72 102 132 164 252 284 314 344 384 392 410 416	-2172860256252
STPT(10)	2057296796006439269	0 2 42 44 60 62 78 80 120 122	-2052767897880
STPT(10)	2057296823127684167	0 2 12 14 42 44 72 74 84 86	-2025646652982
SPT(16)	2057296869525109921	0 42 46 88 112 142 156 190 198 232 246 276 300 342 346 388	-1979249227228
SPT(16)	2057297453729337557	0 12 62 66 86 92 96 174 212 290 294 300 320 324 374 386	-1395044999592
SPT(16)	2057298834290625139	0 42 54 78 84 88 100 114 238 252 264 268 274 298 310 352	-14483712010
STPT(10)	2057299254332725517	0 2 30 32 102 104 174 176 204 206	405558388368
SPT(16)	2057299423604001391	0 48 58 72 96 126 132 162 196 226 232 262 286 300 310 358	574829664242
SPT(16)	2057300183277537421	0 12 28 46 48 66 108 126 142 160 202 220 222 240 256 268	1334503200272
STPT(10)	2057300244917901857	0 2 30 32 42 44 54 56 84 86	1396143564708
SPT(16)	2057300306888974291	0 6 22 42 78 100 132 148 180 196 228 250 286 306 322 328	1458114637142