Prime p₀= 2909412739916800541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 88 2 46 2 106 2 (?)
a_n: 0 2 30 32 48 50 90 92 180 182 228 230 336 338
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: 338
Found by: Landjunge
db: batch=82, k=14, 28 16 40 88 46 106

STPT(10)	2909411253629174561	0 2 36 38 78 80 120 122 156 158	-1486287625980
STPT(10)	2909411465507323487	0 2 60 62 72 74 84 86 144 146	-1274409477054
TPT(14)	2909411687508304007	0 2 42 44 150 152 210 212 360 362 414 416 492 494	-1052408496534
SPT(16)	2909411843052855967	0 10 16 30 60 94 126 156 250 280 312 346 376 390 396 406	-896863944574
TPT(16)	2909411879679950807	0 2 24 26 114 116 162 164 192 194 204 206 264 266 294 296	-860236849734
SPT(16)	2909411897689561633	0 10 54 76 96 144 154 174 256 276 286 334 354 376 420 430	-842227238908
SPT(16)	2909412899722870771	0 16 28 58 66 150 168 198 220 250 268 352 360 390 402 418	159806070230
STPT(10)	2909412941217708197	0 2 30 32 42 44 54 56 84 86	201300907656
SPT(16)	2909413726975610027	0 6 24 50 90 132 150 164 192 206 224 266 306 332 350 356	987058809486
TPT(14)	2909414763572079197	0 2 12 14 54 56 114 116 180 182 222 224 240 242	2023655278656
TPT(14)	2909414997192075677	0 2 30 32 114 116 180 182 222 224 294 296 312 314	2257275275136