Prime p₀= 2495083471620110219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 76 2 58 2 10 2 28 2 (?)
a_n: 0 2 30 32 120 122 198 200 258 260 270 272 300 302
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: 302
Found by: Penguin
db: batch=82, k=14, 28 88 76 58 10 28

SPT(16)	2495082939966385759	0 34 58 70 124 132 154 172 240 258 280 288 342 354 378 412	-531653724460
SPT(16)	2495082959442789917	0 6 56 66 84 92 104 110 216 222 234 242 260 270 320 326	-512177320302
STPT(10)	2495083072164253841	0 2 6 8 48 50 90 92 96 98	-399455856378
STPT(10)	2495083100416330181	0 2 6 8 18 20 30 32 36 38	-371203780038
SPT(16)	2495083159937659153	0 18 58 88 90 144 154 168 286 300 310 364 366 396 436 454	-311682451066
SPT(16)	2495083224832277083	0 6 30 34 148 168 180 214 240 274 286 306 420 424 448 454	-246787833136
STPT(12)	2495083542079588049	0 2 42 44 78 80 132 134 168 170 210 212	70459477830
SPT(16)	2495083564075728623	0 48 60 78 86 98 128 156 158 186 216 228 236 254 266 314	92455618404
SPT(16)	2495083801702744379	0 54 74 80 98 108 114 128 180 194 200 210 228 234 254 308	330082634160
STPT(10)	2495083967881647809	0 2 18 20 60 62 102 104 120 122	496261537590
SPT(16)	2495084169167920807	0 10 36 46 120 126 142 184 192 234 250 256 330 340 366 376	697547810588