Prime p₀= 2033763677602656677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 16 2 70 2 358 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 144 146 504 506
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: 506
Found by: Landjunge
db: batch=80, k=14, 10 16 22 16 70 358

SPT(16)	2033761958308065301	0 10 12 28 30 52 82 108 172 198 228 250 252 268 270 280	-1719294591376
STPT(10)	2033761997911685051	0 2 6 8 48 50 90 92 96 98	-1679690971626
SPT(16)	2033762013860148349	0 72 82 114 142 192 198 222 250 274 280 330 358 390 400 472	-1663742508328
STPT(10)	2033762377265468849	0 2 18 20 30 32 42 44 60 62	-1300337187828
STPT(10)	2033762840011713791	0 2 78 80 138 140 198 200 276 278	-837590942886
SPT(16)	2033763339269915131	0 60 82 160 162 168 172 202 216 246 250 256 258 336 358 418	-338332741546
SPT(16)	2033763733520644271	0 12 56 102 152 240 300 306 356 362 422 510 560 606 650 662	55917987594
SPT(16)	2033763926693083469	0 2 8 14 20 48 78 132 170 224 254 282 288 294 300 302	249090426792
STPT(10)	2033763961356549839	0 2 18 20 30 32 42 44 60 62	283753893162
SPT(16)	2033764370595060827	0 62 84 86 92 96 104 194 282 372 380 384 390 392 414 476	692992404150
SPT(16)	2033764645362682577	0 20 44 90 102 122 174 182 192 200 252 272 284 330 354 374	967760025900