Prime p₀= 1365003040464900671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 10 2 16 2 190 2 16 2 (?)
a_n: 0 2 6 8 18 20 30 32 48 50 240 242 258 260
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: 260
Found by: stoneageman
db: batch=77, k=14, 4 10 10 16 190 16

STPT(10)	1365001398723704381	0 2 6 8 48 50 90 92 96 98	-1641741196290
SPT(16)	1365001737418379759	0 18 24 30 98 108 128 144 164 180 200 210 278 284 290 308	-1303046520912
SPT(16)	1365001971719739137	0 14 24 80 114 162 204 246 290 332 374 422 456 512 522 536	-1068745161534
SPT(16)	1365001992506578891	0 10 12 78 82 148 150 192 196 238 240 306 310 376 378 388	-1047958321780
SPT(16)	1365002296852113341	0 2 8 36 38 78 90 116 132 158 170 210 212 240 246 248	-743612787330
STPT(10)	1365002698555142789	0 2 18 20 30 32 42 44 60 62	-341909757882
SPT(16)	1365003081992379211	0 42 48 82 120 130 142 148 180 186 198 208 246 280 286 328	41527478540
STPT(10)	1365003796704921557	0 2 30 32 60 62 90 92 120 122	756240020886
STPT(10)	1365003840899236607	0 2 24 26 42 44 60 62 84 86	800434335936
SPT(16)	1365003856589258929	0 42 72 108 124 130 150 154 168 172 192 198 214 250 280 322	816124358258
SPT(16)	1365004314625812097	0 40 96 102 142 186 196 216 220 240 250 294 334 340 396 436	1274160911426