Prime p₀= 2070536178381702191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 34 2 28 2 40 2 46 2 (?)
a_n: 0 2 18 20 30 32 66 68 96 98 138 140 186 188
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: 188
Found by: Landjunge
db: batch=80, k=14, 16 10 34 28 40 46

TPT(14)	2070533324337423089	0 2 18 20 102 104 222 224 240 242 282 284 300 302	-2854044279102
SPT(16)	2070533682772181111	0 8 20 38 80 132 198 242 258 302 368 420 462 480 492 500	-2495609521080
STPT(10)	2070534136572337559	0 2 12 14 30 32 48 50 60 62	-2041809364632
STPT(10)	2070534189768091667	0 2 42 44 72 74 102 104 144 146	-1988613610524
SPT(16)	2070535473451356343	0 6 40 46 60 84 90 106 108 124 130 154 168 174 208 214	-704930345848
SPT(16)	2070536096797607507	0 14 50 60 90 134 182 222 224 264 312 356 386 396 432 446	-81584094684
STPT(10)	2070536456840816579	0 2 18 20 30 32 42 44 60 62	278459114388
STPT(10)	2070536795970865217	0 2 30 32 72 74 114 116 144 146	617589163026
SPT(16)	2070536907676715119	0 82 108 124 160 162 168 174 208 214 220 222 258 274 300 382	729295012928
SPT(16)	2070537106092013151	0 26 36 66 92 162 180 192 236 248 266 336 362 392 402 428	927710310960
SPT(16)	2070537156623753267	0 80 92 116 126 134 186 204 212 230 282 290 300 324 336 416	978242051076