Prime p₀= 947684449945474697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 10 2 178 2 58 2 10 2 (?)
a_n: 0 2 24 26 30 32 42 44 222 224 282 284 294 296
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: 296
Found by: Theadalus
db: batch=76, k=14, 22 4 10 178 58 10

SPT(16)	947683369000539581	0 18 98 180 246 278 288 308 390 410 420 452 518 600 680 698	-1080944935116
SPT(16)	947683430304049501	0 72 82 138 150 166 168 192 256 280 282 298 310 366 376 448	-1019641425196
SPT(16)	947683535010184879	0 40 78 88 132 148 180 202 210 232 264 280 324 334 372 412	-914935289818
STPT(10)	947684068013201999	0 2 18 20 30 32 42 44 60 62	-381932272698
SPT(16)	947684188935059183	0 24 54 90 98 104 110 116 138 144 150 156 164 200 230 254	-261010415514
SPT(16)	947684396068427581	0 36 48 58 70 120 130 132 196 198 208 258 270 280 292 328	-53877047116
TPT(14)	947684792725391339	0 2 132 134 150 152 222 224 288 290 300 302 420 422	342779916642
STPT(10)	947685111003855839	0 2 18 20 30 32 42 44 60 62	661058381142
STPT(10)	947685501498058637	0 2 30 32 42 44 54 56 84 86	1051552583940
STPT(10)	947685502736430551	0 2 30 32 60 62 90 92 120 122	1052790955854
SPT(16)	947685935852130239	0 18 44 62 72 84 108 240 242 374 398 410 420 438 464 482	1485906655542