Prime p₀= 2862883622402829131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 70 2 28 2 70 2 34 2 (?)
a_n: 0 2 36 38 66 68 138 140 168 170 240 242 276 278
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, 34 28 70 28 70 34

SPT(16)	2862882554416095041	0 48 78 116 138 146 210 228 428 446 510 518 540 578 608 656	-1067986734090
TPT(14)	2862882931445214341	0 2 96 98 198 200 318 320 420 422 450 452 486 488	-690957614790
SPT(16)	2862883079414978567	0 24 96 104 126 146 150 164 192 206 210 230 252 260 332 356	-542987850564
SPT(16)	2862883401783359687	0 12 32 54 66 80 96 102 104 110 126 140 152 174 194 206	-220619469444
STPT(10)	2862883525128314951	0 2 6 8 48 50 90 92 96 98	-97274514180
STPT(10)	2862883609398933089	0 2 12 14 30 32 48 50 60 62	-13003896042
SPT(16)	2862883711937358881	0 36 38 56 80 90 92 128 210 246 248 258 282 300 302 338	89534529750
SPT(16)	2862884007820198319	0 38 48 102 128 168 200 224 258 282 314 354 380 434 444 482	385417369188
STPT(10)	2862884062218518489	0 2 48 50 90 92 132 134 180 182	439815689358
SPT(16)	2862884189044906343	0 18 50 98 128 168 170 186 188 204 206 246 276 324 356 374	566642077212
STPT(10)	2862884365045225847	0 2 42 44 72 74 102 104 144 146	742642396716