Prime p₀= 2783760071751151391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 154 2 40 2 40 2 154 2 22 2 (?)
a_n: 0 2 90 92 246 248 288 290 330 332 486 488 510 512
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: 512
Found by: [SG-FC] hl
db: batch=82, k=14, 88 154 40 40 154 22

STPT(10)	2783756494858619381	0 2 6 8 48 50 90 92 96 98	-3576892532010
STPT(10)	2783756555896894997	0 2 12 14 42 44 72 74 84 86	-3515854256394
STPT(10)	2783758242332159357	0 2 42 44 72 74 102 104 144 146	-1829418992034
SPT(16)	2783758311469893181	0 36 102 156 160 162 168 172 186 190 196 198 202 256 322 358	-1760281258210
SPT(16)	2783759439772910519	0 92 98 104 180 188 218 230 252 264 294 302 378 384 390 482	-631978240872
SPT(16)	2783760059397039623	0 14 50 66 80 116 150 168 176 194 228 264 278 294 330 344	-12354111768
STPT(10)	2783760071751151481	0 2 156 158 198 200 240 242 396 398	90
TPT(14)	2783760722972288417	0 2 42 44 54 56 114 116 150 152 180 182 282 284	651221137026
SPT(16)	2783760935605146187	0 10 94 130 144 196 262 276 280 294 360 412 426 462 546 556	863853994796
SPT(16)	2783761174057474141	0 6 10 90 100 126 130 160 252 282 286 312 322 402 406 412	1102306322750
STPT(12)	2783761316410667429	0 2 18 20 42 44 48 50 72 74 90 92	1244659516038