Prime p₀= 2540127138821431931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 4 2 28 2 10 2 40 2 (?)
a_n: 0 2 90 92 120 122 126 128 156 158 168 170 210 212
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, 88 28 4 28 10 40

SPT(16)	2540125912744853677	0 24 34 40 72 82 90 100 126 136 144 154 186 192 202 226	-1226076578254
SPT(16)	2540126264258319661	0 40 42 126 130 156 166 190 288 312 322 348 352 436 438 478	-874563112270
SPT(16)	2540126511310650883	0 4 70 108 244 286 306 340 384 418 438 480 616 654 720 724	-627510781048
STPT(10)	2540126660710239437	0 2 12 14 72 74 132 134 144 146	-478111192494
STPT(10)	2540126685558943277	0 2 24 26 42 44 60 62 84 86	-453262488654
SPT(16)	2540126810763912907	0 4 12 40 54 94 102 130 144 172 180 220 234 262 270 274	-328057519024
SPT(16)	2540127186533424919	0 28 60 88 114 138 142 144 268 270 274 298 324 352 384 412	47711992988
STPT(10)	2540127680191989917	0 2 12 14 42 44 72 74 84 86	541370557986
STPT(10)	2540127752486264987	0 2 54 56 72 74 90 92 144 146	613664833056
SPT(16)	2540128163990815843	0 18 46 58 100 120 186 216 238 268 334 354 396 408 436 454	1025169383912
SPT(16)	2540128181726376149	0 2 12 30 42 104 132 150 212 230 258 320 332 350 360 362	1042904944218