Prime p₀= 1297211904332512451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 4 2 10 2 16 2 52 2 34 2 (?)
a_n: 0 2 90 92 96 98 108 110 126 128 180 182 216 218
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: 218
Found by: Cruncher Pete
db: batch=77, k=14, 88 4 10 16 52 34

SPT(18)	1297210840058615917	0 4 30 36 40 42 54 106 112 114 120 172 184 186 190 196 222 226	-1064273896534
STPT(10)	1297211029441889447	0 2 12 14 72 74 132 134 144 146	-874890623004
SPT(16)	1297211347112137433	0 6 86 98 104 120 144 146 168 170 194 210 216 228 308 314	-557220375018
SPT(18)	1297211489591165999	0 2 8 32 54 60 68 78 102 110 134 144 152 158 180 204 210 212	-414741346452
SPT(16)	1297211583978808579	0 30 34 102 120 124 162 202 210 250 288 292 310 378 382 412	-320353703872
TPT(14)	1297211599148262767	0 2 12 14 54 56 90 92 114 116 132 134 144 146	-305184249684
STPT(10)	1297212168367863029	0 2 18 20 60 62 102 104 120 122	264035350578
STPT(10)	1297212395225014517	0 2 30 32 42 44 54 56 84 86	490892502066
SPT(16)	1297212396820377461	0 56 62 102 116 140 210 216 266 272 342 366 380 420 426 482	492487865010
SPT(16)	1297213444970580593	0 24 60 78 86 150 218 240 254 276 344 408 416 434 470 494	1540638068142
STPT(10)	1297213856116027931	0 2 6 8 48 50 90 92 96 98	1951783515480