Prime p₀= 2901947104747716161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 46 2 40 2 28 2 64 2 (?)
a_n: 0 2 36 38 90 92 138 140 180 182 210 212 276 278
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: 278
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 34 52 46 40 28 64

SPT(16)	2901944468219933369	0 48 50 60 90 140 210 230 270 290 360 410 440 450 452 500	-2636527782792
STPT(10)	2901944753994214427	0 2 42 44 72 74 102 104 144 146	-2350753501734
STPT(10)	2901945530342999051	0 2 6 8 18 20 30 32 36 38	-1574404717110
STPT(10)	2901945606480772601	0 2 36 38 78 80 120 122 156 158	-1498266943560
SPT(16)	2901945831083915219	0 48 90 182 204 224 234 252 350 368 378 398 420 512 554 602	-1273663800942
SPT(16)	2901946554299817769	0 10 12 114 120 180 198 222 250 274 292 352 358 460 462 472	-550447898392
SPT(16)	2901947234012981489	0 20 44 62 84 140 170 192 212 234 264 320 342 360 384 404	129265265328
STPT(10)	2901947810838767219	0 2 42 44 90 92 138 140 180 182	706091051058
SPT(16)	2901947980638799607	0 6 14 26 72 110 132 144 182 194 216 254 300 312 320 326	875891083446
STPT(10)	2901948164666992349	0 2 18 20 30 32 42 44 60 62	1059919276188
SPT(16)	2901948698457909389	0 14 24 80 90 102 128 134 198 204 230 242 252 308 318 332	1593710193228