Prime p₀= 2181987771966296387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 34 2 40 2 190 2 64 2 (?)
a_n: 0 2 60 62 84 86 120 122 162 164 354 356 420 422
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: 422
Found by: JonS
db: batch=81, k=14, 58 22 34 40 190 64

SPT(16)	2181986343479091419	0 2 32 44 54 72 98 102 110 114 140 158 168 180 210 212	-1428487204968
SPT(16)	2181986626944446527	0 22 36 60 66 102 126 162 184 220 244 280 286 310 324 346	-1145021849860
STPT(10)	2181987031955997221	0 2 138 140 168 170 198 200 336 338	-740010299166
SPT(16)	2181987182364457211	0 6 8 20 38 50 80 102 146 168 198 210 228 240 242 248	-589601839176
STPT(10)	2181987233092654061	0 2 6 8 48 50 90 92 96 98	-538873642326
STPT(10)	2181987334239517619	0 2 12 14 90 92 168 170 180 182	-437726778768
SPT(16)	2181987853863502849	0 54 58 112 154 190 198 234 238 274 282 318 360 414 418 472	81897206462
STPT(10)	2181988243555393829	0 2 48 50 90 92 132 134 180 182	471589097442
SPT(16)	2181988552391868343	0 34 54 76 114 126 168 186 238 256 298 310 348 370 390 424	780425571956
SPT(16)	2181988976612845619	0 50 102 120 212 224 258 260 282 284 318 330 422 440 492 542	1204646549232
SPT(16)	2181989327595739391	0 2 8 30 78 80 86 122 126 162 168 170 218 240 246 248	1555629443004