Prime p₀= 3002353389268565261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 40 2 88 2 40 2 4 2 (?)
a_n: 0 2 18 20 96 98 138 140 228 230 270 272 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=14, 16 76 40 88 40 4

STPT(12)	3002350969310449457	0 2 30 32 42 44 72 74 84 86 114 116	-2419958115804
SPT(16)	3002351248817709671	0 42 56 120 158 168 200 242 246 288 320 330 368 432 446 488	-2140450855590
TPT(14)	3002351314665998171	0 2 6 8 90 92 126 128 156 158 246 248 258 260	-2074602567090
SPT(16)	3002351410848178439	0 12 32 44 92 98 102 168 194 260 264 270 318 330 350 362	-1978420386822
SPT(16)	3002352055030898989	0 34 40 42 82 102 108 124 138 154 160 180 220 222 228 262	-1334237666272
SPT(16)	3002353199911270903	0 36 40 148 150 166 168 180 274 286 288 304 306 414 418 454	-189357294358
TPT(14)	3002353492827200801	0 2 18 20 48 50 90 92 240 242 246 248 288 290	103558635540
SPT(16)	3002353952996264453	0 14 20 86 114 158 174 230 234 290 306 350 378 444 450 464	563727699192
TPT(14)	3002354726612587349	0 2 42 44 78 80 132 134 150 152 300 302 390 392	1337344022088
SPT(13)	3002355536580897137	0 60 72 90 102 132 156 180 210 222 240 252 312	2147312331876
SPT(16)	3002355559127946121	0 6 22 28 78 90 148 162 196 210 268 280 330 336 352 358	2169859380860