Prime p₀= 2036865218881305677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 70 2 28 2 34 2 40 2 (?)
a_n: 0 2 12 14 72 74 144 146 174 176 210 212 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 10 58 70 28 34 40

SPT(16)	2036863695650674529	0 2 20 30 42 62 78 90 212 224 240 260 272 282 300 302	-1523230631148
SPT(16)	2036863729819513123	0 18 34 46 90 96 106 114 130 138 148 154 198 210 226 244	-1489061792554
TPT(14)	2036864210076097769	0 2 42 44 48 50 78 80 120 122 162 164 210 212	-1008805207908
STPT(10)	2036864452801899731	0 2 6 8 48 50 90 92 96 98	-766079405946
SPT(16)	2036864774925419287	0 10 16 24 34 66 120 154 156 190 244 276 286 294 300 310	-443955886390
STPT(10)	2036864847276090449	0 2 48 50 60 62 72 74 120 122	-371605215228
SPT(16)	2036865278508109627	0 12 70 76 114 142 156 174 322 340 354 382 420 426 484 496	59626803950
TPT(14)	2036865466134665861	0 2 6 8 48 50 78 80 90 92 210 212 246 248	247253360184
SPT(16)	2036865626314443439	0 34 54 72 78 142 154 172 240 258 270 334 340 358 378 412	407433137762
STPT(10)	2036865871851856889	0 2 18 20 30 32 42 44 60 62	652970551212
STPT(10)	2036866010749626809	0 2 18 20 30 32 42 44 60 62	791868321132