Prime p₀= 2342643827809156169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 10 2 76 2 40 2 16 2 (?)
a_n: 0 2 18 20 48 50 60 62 138 140 180 182 198 200
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: 200
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 16 28 10 76 40 16

SPT(16)	2342641388687235563	0 30 44 68 78 90 144 156 158 170 224 236 246 270 284 314	-2439121920606
SPT(16)	2342641865286411679	0 12 40 84 112 144 180 184 210 214 250 282 310 354 382 394	-1962522744490
SPT(16)	2342642059937648059	0 28 40 70 82 94 100 114 178 192 198 210 222 252 264 292	-1767871508110
STPT(10)	2342642804718140591	0 2 6 8 18 20 30 32 36 38	-1023091015578
SPT(16)	2342643350619229499	0 8 18 62 90 102 122 140 150 168 188 200 228 272 282 290	-477189926670
SPT(16)	2342643413059285537	0 10 34 36 64 84 136 154 252 270 322 342 370 372 396 406	-414749870632
STPT(10)	2342644490079797009	0 2 78 80 120 122 162 164 240 242	662270640840
SPT(16)	2342645019660539743	0 66 78 108 120 136 160 168 238 246 270 286 298 328 340 406	1191851383574
STPT(10)	2342645212626629921	0 2 6 8 48 50 90 92 96 98	1384817473752
STPT(10)	2342645740825804781	0 2 6 8 48 50 90 92 96 98	1913016648612
SPT(16)	2342646080492021081	0 26 60 92 110 122 140 180 182 222 240 252 270 302 336 362	2252682864912