Prime p₀= 2843123740558895741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 160 2 58 2 10 2 4 2 (?)
a_n: 0 2 78 80 96 98 258 260 318 320 330 332 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 76 16 160 58 10 4

SPT(16)	2843122480521916331	0 36 50 56 102 156 170 182 216 228 242 296 342 348 362 398	-1260036979410
STPT(10)	2843122795013802407	0 2 30 32 42 44 54 56 84 86	-945545093334
SPT(16)	2843123104393065383	0 96 108 114 126 158 164 200 204 240 246 278 290 296 308 404	-636165830358
SPT(16)	2843123136032056439	0 18 50 80 90 92 102 132 158 188 198 200 210 240 272 290	-604526839302
STPT(10)	2843123290083579257	0 2 30 32 42 44 54 56 84 86	-450475316484
STPT(10)	2843123388077088617	0 2 54 56 72 74 90 92 144 146	-352481807124
SPT(16)	2843123836015481539	0 22 24 54 132 174 184 192 250 258 268 310 388 418 420 442	95456585798
STPT(10)	2843124128404094201	0 2 6 8 18 20 30 32 36 38	387845198460
SPT(16)	2843124226016878327	0 16 30 52 130 144 150 216 220 286 292 306 384 406 420 436	485457982586
STPT(10)	2843124264273585119	0 2 42 44 60 62 78 80 120 122	523714689378
STPT(10)	2843124984292382057	0 2 30 32 72 74 114 116 144 146	1243733486316