Prime p₀= 732688367634187397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 58 2 106 2 22 2 (?)
a_n: 0 2 12 14 24 26 42 44 102 104 210 212 234 236
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: 236
Found by: Theadalus
db: batch=73, k=14, 10 10 16 58 106 22

STPT(10)	732686812610863079	0 2 12 14 30 32 48 50 60 62	-1555023324318
STPT(10)	732686998788418319	0 2 48 50 60 62 72 74 120 122	-1368845769078
STPT(10)	732687002514290669	0 2 18 20 30 32 42 44 60 62	-1365119896728
SPT(16)	732687330999146797	0 22 102 106 130 240 310 322 354 366 436 546 570 574 654 676	-1036635040600
SPT(16)	732688001967257113	0 30 64 84 88 96 108 114 220 226 238 246 250 270 304 334	-365666930284
SPT(16)	732688090681632991	0 22 52 100 118 126 156 162 196 202 232 240 258 306 336 358	-276952554406
SPT(16)	732688398884026297	0 12 96 102 172 220 256 264 292 300 336 384 454 460 544 556	31249838900
SPT(16)	732688546761253301	0 18 32 36 72 98 108 120 128 140 150 176 212 216 230 248	179127065904
SPT(16)	732688799527066279	0 28 30 78 88 190 198 240 310 352 360 462 472 520 522 550	431892878882
STPT(10)	732688953180235661	0 2 30 32 78 80 126 128 156 158	585546048264
SPT(16)	732689163851786891	0 60 66 80 98 102 110 138 170 198 206 210 228 242 248 308	796217599494