Prime p₀= 2696987873714119331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 58 2 16 2 40 2 46 2 28 2 (?)
a_n: 0 2 90 92 150 152 168 170 210 212 258 260 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 88 58 16 40 46 28

STPT(12)	2696987017716363527	0 2 42 44 84 86 150 152 192 194 234 236	-855997755804
SPT(16)	2696987149536017839	0 22 28 72 78 88 90 100 132 142 144 154 160 204 210 232	-724178101492
SPT(16)	2696987494323376249	0 28 52 78 100 102 108 120 142 154 160 162 184 210 234 262	-379390743082
SPT(16)	2696987524775054461	0 10 12 40 58 66 96 202 216 322 352 360 378 406 408 418	-348939064870
STPT(10)	2696987548717524479	0 2 18 20 30 32 42 44 60 62	-324996594852
STPT(10)	2696987859467008139	0 2 48 50 90 92 132 134 180 182	-14247111192
SPT(16)	2696987948911875683	0 26 44 60 84 114 126 140 180 194 206 236 260 276 294 320	75197756352
SPT(16)	2696988198843444731	0 12 32 68 78 80 108 128 150 170 198 200 210 246 266 278	325129325400
SPT(16)	2696988900266909351	0 36 38 96 110 116 176 182 186 192 252 258 272 330 332 368	1026552790020
SPT(16)	2696988910206998579	0 20 84 90 120 132 152 174 188 210 230 242 272 278 342 362	1036492879248
SPT(16)	2696989104069337993	0 10 16 34 48 136 156 166 168 178 198 286 300 318 324 334	1230355218662