Prime p₀= 1345204544425759097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 40 2 40 2 34 2 10 2 (?)
a_n: 0 2 84 86 90 92 132 134 174 176 210 212 222 224
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: 224
Found by: stoneageman
db: batch=77, k=14, 82 4 40 40 34 10

SPT(16)	1345203727569417377	0 2 36 44 74 90 110 126 230 246 266 282 312 320 354 356	-816856341720
STPT(10)	1345203808022582867	0 2 60 62 72 74 84 86 144 146	-736403176230
SPT(16)	1345203849271496309	0 50 68 132 134 162 168 240 242 314 320 348 350 414 432 482	-695154262788
SPT(16)	1345204077833196611	0 6 8 42 50 72 92 98 150 156 176 198 206 240 242 248	-466592562486
SPT(16)	1345204288030631051	0 36 50 80 90 102 126 150 158 182 206 218 228 258 272 308	-256395128046
TPT(14)	1345204371007074437	0 2 30 32 54 56 72 74 114 116 234 236 294 296	-173418684660
TPT(14)	1345204795171390121	0 2 36 38 66 68 78 80 138 140 210 212 216 218	250745631024
STPT(10)	1345204994070779111	0 2 6 8 48 50 90 92 96 98	449645020014
STPT(10)	1345205187947749979	0 2 48 50 90 92 132 134 180 182	643521990882
STPT(10)	1345205391456789167	0 2 30 32 42 44 54 56 84 86	847031030070
SPT(16)	1345205516826378367	0 12 46 76 90 132 136 150 202 216 220 262 276 306 340 352	972400619270