Prime p₀= 2536492641366129569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 70 2 64 2 10 2 10 2 (?)
a_n: 0 2 12 14 60 62 132 134 198 200 210 212 222 224
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: 224
Found by: JayPi
db: batch=82, k=14, 10 46 70 64 10 10

SPT(16)	2536491709309383821	0 2 30 32 36 62 72 108 140 176 186 212 216 218 246 248	-932056745748
STPT(10)	2536491883893297101	0 2 48 50 168 170 288 290 336 338	-757472832468
STPT(10)	2536491947369939561	0 2 30 32 60 62 90 92 120 122	-693996190008
SPT(16)	2536492085899594583	0 8 18 90 134 168 194 236 258 300 326 360 404 476 486 494	-555466534986
SPT(16)	2536492183777739309	0 24 38 42 80 114 132 150 152 170 188 222 260 264 278 302	-457588390260
STPT(10)	2536492199825431217	0 2 30 32 42 44 54 56 84 86	-441540698352
STPT(10)	2536492757915686457	0 2 30 32 42 44 54 56 84 86	116549556888
SPT(16)	2536493024000213221	0 6 42 48 100 130 136 160 168 192 198 228 280 286 322 328	382634083652
SPT(16)	2536493037507554399	0 32 42 44 72 74 80 84 98 102 108 110 138 140 150 182	396141424830
TPT(14)	2536493250407355947	0 2 30 32 114 116 120 122 162 164 204 206 222 224	609041226378
SPT(16)	2536493377927040423	0 6 8 26 48 128 168 176 210 218 258 338 360 378 380 386	736560910854