Prime p₀= 2726125290526623911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 46 2 58 2 22 2 (?)
a_n: 0 2 6 8 48 50 78 80 126 128 186 188 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 4 40 28 46 58 22

SPT(16)	2726124152780805811	0 58 60 90 102 150 172 192 286 306 328 376 388 418 420 478	-1137745818100
SPT(16)	2726124162154049357	0 12 24 32 152 164 194 320 336 462 492 504 624 632 644 656	-1128372574554
STPT(10)	2726124852767123537	0 2 30 32 72 74 114 116 144 146	-437759500374
SPT(16)	2726125097524826563	0 40 48 66 108 118 124 130 174 180 186 196 238 256 264 304	-193001797348
STPT(10)	2726125229393474939	0 2 18 20 30 32 42 44 60 62	-61133148972
SPT(16)	2726125260570777157	0 22 24 42 112 204 210 234 250 274 280 372 442 460 462 484	-29955846754
SPT(16)	2726125581879798731	0 36 48 78 120 122 128 188 240 300 306 308 350 380 392 428	291353174820
SPT(16)	2726125959986803393	0 84 96 106 120 166 210 216 244 250 294 340 354 364 376 460	669460179482
STPT(10)	2726126214849326657	0 2 30 32 42 44 54 56 84 86	924322702746
STPT(10)	2726126319271527857	0 2 24 26 42 44 60 62 84 86	1028744903946
STPT(10)	2726126420761350749	0 2 18 20 30 32 42 44 60 62	1130234726838