Prime p₀= 2250948324423703907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 16 2 130 2 34 2 10 2 40 2 (?)
a_n: 0 2 144 146 162 164 294 296 330 332 342 344 384 386
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: 386
Found by: JayPi
db: batch=81, k=14, 142 16 130 34 10 40

TPT(14)	2250946604871229481	0 2 138 140 186 188 210 212 228 230 348 350 360 362	-1719552474426
STPT(10)	2250946696332884411	0 2 36 38 78 80 120 122 156 158	-1628090819496
STPT(10)	2250947409325936169	0 2 30 32 60 62 90 92 120 122	-915097767738
SPT(16)	2250947536679125139	0 18 20 72 78 122 162 228 272 338 378 422 428 480 482 500	-787744578768
STPT(10)	2250947637009215621	0 2 36 38 78 80 120 122 156 158	-687414488286
STPT(10)	2250947884460405027	0 2 42 44 72 74 102 104 144 146	-439963298880
SPT(16)	2250948432262631201	0 36 60 78 80 116 126 218 258 350 360 396 398 416 440 476	107838927294
STPT(10)	2250948443255018207	0 2 30 32 42 44 54 56 84 86	118831314300
SPT(16)	2250948585390244717	0 4 22 52 70 76 82 102 154 174 180 186 204 234 252 256	260966540810
STPT(10)	2250948659133082001	0 2 30 32 60 62 90 92 120 122	334709378094
STPT(10)	2250948904610926769	0 2 18 20 30 32 42 44 60 62	580187222862