Prime p₀= 2508808836781504331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 4 2 58 2 22 2 58 2 28 2 (?)
a_n: 0 2 90 92 96 98 156 158 180 182 240 242 270 272
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: 272
Found by: Hightower
db: batch=82, k=14, 88 4 58 22 58 28

STPT(10)	2508807567571687139	0 2 18 20 30 32 42 44 60 62	-1269209817192
SPT(16)	2508807595156298669	0 140 158 162 168 188 198 228 242 272 282 302 308 312 330 470	-1241625205662
SPT(16)	2508807776087876371	0 28 52 70 82 120 132 136 192 196 208 246 258 276 300 328	-1060693627960
SPT(16)	2508808317586099759	0 40 54 60 70 84 90 130 132 172 178 192 202 208 222 262	-519195404572
STPT(10)	2508808487308754927	0 2 72 74 102 104 132 134 204 206	-349472749404
SPT(16)	2508808694618977391	0 42 68 78 92 110 128 186 212 270 288 306 320 330 356 398	-142162526940
SPT(16)	2508809023518386657	0 32 56 60 90 162 182 186 470 474 494 566 596 600 624 656	186736882326
STPT(10)	2508809638362895139	0 2 18 20 30 32 42 44 60 62	801581390808
SPT(16)	2508810177243275987	0 14 56 104 146 152 162 204 242 284 294 300 342 390 432 446	1340461771656
SPT(16)	2508810305115532427	0 42 72 74 84 104 116 164 192 240 252 272 282 284 314 356	1468334028096
STPT(10)	2508810385953873917	0 2 24 26 42 44 60 62 84 86	1549172369586