Prime p₀= 2627225566305623441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 4 2 172 2 34 2 88 2 22 2 (?)
a_n: 0 2 90 92 96 98 270 272 306 308 396 398 420 422
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: 422
Found by: RFGuy_KCCO
db: batch=82, k=14, 88 4 172 34 88 22

SPT(16)	2627224160045851963	0 4 10 16 18 120 186 198 226 238 304 406 408 414 420 424	-1406259771478
SPT(16)	2627224174720867987	0 24 40 66 70 72 94 96 100 102 124 126 130 156 172 196	-1391584755454
SPT(16)	2627224515228194579	0 8 74 78 102 140 152 174 188 210 222 260 284 288 354 362	-1051077428862
SPT(16)	2627224543627501771	0 70 76 106 120 130 160 172 186 198 228 238 252 282 288 358	-1022678121670
SPT(16)	2627225132721742073	0 14 44 48 50 56 66 138 206 278 288 294 296 300 330 344	-433583881368
STPT(10)	2627225529443125031	0 2 36 38 78 80 120 122 156 158	-36862498410
STPT(10)	2627225631309947147	0 2 30 32 42 44 54 56 84 86	65004323706
STPT(10)	2627225680385617151	0 2 36 38 78 80 120 122 156 158	114079993710
STPT(10)	2627225691419289899	0 2 42 44 120 122 198 200 240 242	125113666458
STPT(10)	2627226193036996721	0 2 30 32 78 80 126 128 156 158	626731373280
SPT(16)	2627226465492878407	0 16 30 64 126 130 132 156 160 184 186 190 252 286 300 316	899187254966