Prime p₀= 2817445318116875051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 76 2 40 2 10 2 34 2 (?)
a_n: 0 2 6 8 48 50 126 128 168 170 180 182 216 218
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: 218
Found by: [SG-FC] hl
db: batch=82, k=14, 4 40 76 40 10 34

SPT(16)	2817443588476662149	0 20 32 92 98 180 224 240 242 258 302 384 390 450 462 482	-1729640212902
STPT(10)	2817443741423255687	0 2 12 14 42 44 72 74 84 86	-1576693619364
SPT(16)	2817443786697595301	0 60 108 116 120 156 198 242 246 290 332 368 372 380 428 488	-1531419279750
SPT(16)	2817444025946422931	0 6 18 32 50 62 90 102 116 128 156 168 186 200 212 218	-1292170452120
SPT(16)	2817444371913990781	0 18 22 40 46 100 138 156 172 190 228 282 288 306 310 328	-946202884270
STPT(10)	2817445213079156711	0 2 6 8 18 20 30 32 36 38	-105037718340
SPT(16)	2817445736144191333	0 24 34 46 76 88 114 180 214 280 306 318 348 360 370 394	418027316282
SPT(16)	2817445800341442181	0 16 22 36 52 66 70 72 106 108 112 126 142 156 162 178	482224567130
STPT(10)	2817446179266885347	0 2 30 32 42 44 54 56 84 86	861150010296
TPT(14)	2817446257107731399	0 2 12 14 120 122 150 152 168 170 258 260 300 302	938990856348
SPT(16)	2817446336072281801	0 6 30 46 52 66 72 90 112 130 136 150 156 172 196 202	1017955406750