Prime p₀= 2658815521726758881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 28 2 10 2 40 2 4 2 (?)
a_n: 0 2 90 92 126 128 156 158 168 170 210 212 216 218
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: RFGuy_KCCO
db: batch=82, k=14, 88 34 28 10 40 4

SPT(16)	2658814376233983631	0 10 16 52 60 102 132 136 192 196 226 268 276 312 318 328	-1145492775250
SPT(16)	2658814828237052971	0 12 30 36 40 70 78 162 226 310 318 348 352 358 376 388	-693489705910
SPT(16)	2658814928893859783	0 38 56 78 80 90 98 150 164 216 224 234 236 258 276 314	-592832899098
STPT(10)	2658815190807751271	0 2 6 8 18 20 30 32 36 38	-330919007610
TPT(14)	2658815289674704397	0 2 12 14 222 224 252 254 264 266 312 314 354 356	-232052054484
SPT(16)	2658815449924034987	0 36 42 50 62 84 146 152 174 180 242 264 276 284 290 326	-71802723894
STPT(10)	2658816059815063781	0 2 6 8 48 50 90 92 96 98	538088304900
TPT(14)	2658816450127162181	0 2 6 8 36 38 108 110 138 140 150 152 216 218	928400403300
SPT(13)	2658816480581328547	0 30 36 102 156 162 186 210 216 270 336 342 372	958854569666
STPT(12)	2658816768195777389	0 2 12 14 30 32 72 74 90 92 102 104	1246469018508
STPT(10)	2658816835532039849	0 2 18 20 30 32 42 44 60 62	1313805280968