Prime p₀= 2515657129976791217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 88 2 46 2 40 2 16 2 (?)
a_n: 0 2 72 74 84 86 174 176 222 224 264 266 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 70 10 88 46 40 16

SPT(16)	2515656153220829383	0 34 36 58 64 66 78 156 238 316 328 330 336 358 360 394	-976755961834
STPT(10)	2515656332860796141	0 2 30 32 78 80 126 128 156 158	-797115995076
SPT(16)	2515656372943789679	0 2 32 60 62 192 224 230 252 258 290 420 422 450 480 482	-757033001538
STPT(10)	2515656483360909149	0 2 18 20 30 32 42 44 60 62	-646615882068
SPT(16)	2515656885926867479	0 34 54 102 114 130 142 168 214 240 252 268 280 328 348 382	-244049923738
STPT(10)	2515657118303437019	0 2 18 20 30 32 42 44 60 62	-11673354198
SPT(16)	2515657150151940023	0 14 98 116 126 218 230 246 248 264 276 368 378 396 480 494	20175148806
SPT(16)	2515657253453510851	0 6 12 16 28 46 70 112 156 198 222 240 252 256 262 268	123476719634
TPT(14)	2515657295510246861	0 2 138 140 156 158 240 242 276 278 288 290 336 338	165533455644
TPT(14)	2515657335744309059	0 2 30 32 42 44 90 92 120 122 132 134 198 200	205767517842
SPT(16)	2515657538236093309	0 10 42 48 58 90 94 102 160 168 172 204 214 220 252 262	408259302092