Prime p₀= 2525217121722575081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 82 2 88 2 28 2 4 2 28 2 (?)
a_n: 0 2 96 98 180 182 270 272 300 302 306 308 336 338
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: 338
Found by: Jeff17
db: batch=82, k=14, 94 82 88 28 4 28

SPT(16)	2525216564933669861	0 20 36 42 50 62 102 192 200 290 330 342 350 356 372 392	-556788905220
SPT(16)	2525216737803702973	0 4 108 114 130 154 156 210 214 268 270 294 310 316 420 424	-383918872108
STPT(10)	2525216869292483381	0 2 36 38 78 80 120 122 156 158	-252430091700
TPT(14)	2525216896718933147	0 2 42 44 54 56 120 122 132 134 162 164 222 224	-225003641934
SPT(16)	2525216962189005113	0 18 30 38 68 78 80 84 194 198 200 210 240 248 260 278	-159533569968
STPT(10)	2525217061978127639	0 2 12 14 90 92 168 170 180 182	-59744447442
SPT(16)	2525217192812732021	0 2 6 8 18 36 50 92 156 198 212 230 240 242 246 248	71090156940
SPT(16)	2525217768808828903	0 18 40 78 84 150 186 190 234 238 274 340 346 384 406 424	647086253822
SPT(16)	2525218047337288921	0 28 72 78 88 106 112 126 172 186 192 210 220 226 270 298	925614713840
SPT(16)	2525218050432738371	0 50 116 146 156 168 170 182 216 228 230 242 252 282 348 398	928710163290
SPT(16)	2525218177252519603	0 40 88 108 148 154 180 208 210 238 264 270 310 330 378 418	1055529944522