Prime p₀= 2706816937860568397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 88 2 28 2 76 2 28 2 (?)
a_n: 0 2 12 14 54 56 144 146 174 176 252 254 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 10 40 88 28 76 28

STPT(10)	2706814981513963121	0 2 6 8 48 50 90 92 96 98	-1956346605276
STPT(10)	2706815002593008597	0 2 90 92 132 134 174 176 264 266	-1935267559800
STPT(10)	2706815233430731601	0 2 6 8 48 50 90 92 96 98	-1704429836796
SPT(16)	2706815757640614479	0 14 54 80 98 110 188 210 248 270 348 360 378 404 444 458	-1180219953918
SPT(16)	2706815975377998691	0 28 100 142 148 168 208 232 258 282 322 342 348 390 462 490	-962482569706
SPT(16)	2706816392925833257	0 6 16 34 76 82 90 112 114 136 144 150 192 210 220 226	-544934735140
STPT(10)	2706817018764084767	0 2 30 32 72 74 114 116 144 146	80903516370
STPT(10)	2706817204521710219	0 2 42 44 120 122 198 200 240 242	266661141822
SPT(16)	2706817330918241161	0 18 36 40 66 78 82 136 162 216 220 232 258 262 280 298	393057672764
TPT(14)	2706817436912467049	0 2 12 14 42 44 78 80 150 152 162 164 222 224	499051898652
SPT(16)	2706817765518162949	0 4 34 42 108 142 148 178 294 324 330 364 430 438 468 472	827657594552