Prime p₀= 2402026499859229751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 10 2 64 2 10 2 16 2 (?)
a_n: 0 2 30 32 48 50 60 62 126 128 138 140 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=14, 28 16 10 64 10 16

SPT(16)	2402023869201930031	0 22 90 120 130 136 172 178 210 216 252 258 268 298 366 388	-2630657299720
STPT(10)	2402024923487521181	0 2 120 122 150 152 180 182 300 302	-1576371708570
SPT(16)	2402025188802259043	0 24 30 36 80 90 114 140 150 176 200 210 254 260 266 290	-1311056970708
SPT(16)	2402025373057230131	0 60 68 80 96 116 228 290 366 428 540 560 576 588 596 656	-1126801999620
SPT(16)	2402025572741875573	0 48 58 70 94 150 168 180 238 250 268 324 348 360 370 418	-927117354178
SPT(16)	2402026339962222241	0 30 42 88 112 130 142 168 220 246 258 276 300 346 358 388	-159897007510
STPT(12)	2402026499859229781	0 2 18 20 30 32 96 98 108 110 126 128	30
SPT(16)	2402027215588249199	0 30 44 110 132 150 192 194 210 212 254 272 294 360 374 404	715729019448
SPT(16)	2402027315538827773	0 10 46 60 114 154 156 168 196 208 210 250 304 318 354 364	815679598022
STPT(10)	2402027531349659399	0 2 18 20 30 32 42 44 60 62	1031490429648
STPT(10)	2402027575403187671	0 2 30 32 60 62 90 92 120 122	1075543957920