Prime p₀= 2362407434474804219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 118 2 40 2 130 2 34 2 10 2 (?)
a_n: 0 2 18 20 138 140 180 182 312 314 348 350 360 362
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: 362
Found by: Landjunge
db: batch=81, k=14, 16 118 40 130 34 10

SPT(16)	2362406553176372753	0 8 56 74 134 140 144 186 218 260 264 270 330 348 396 404	-881298431466
SPT(16)	2362406690883888263	0 18 24 30 86 90 116 150 164 198 224 228 284 290 296 314	-743590915956
STPT(10)	2362406749733756021	0 2 6 8 18 20 30 32 36 38	-684741048198
STPT(10)	2362407028295134367	0 2 30 32 42 44 54 56 84 86	-406179669852
STPT(10)	2362407330364757231	0 2 6 8 48 50 90 92 96 98	-104110046988
SPT(16)	2362407409975450417	0 4 6 10 34 144 172 250 306 384 412 522 546 550 552 556	-24499353802
STPT(10)	2362407857967413027	0 2 72 74 102 104 132 134 204 206	423492608808
SPT(18)	2362407877620785041	0 28 40 42 76 78 82 126 130 168 172 216 220 222 256 258 270 298	443145980822
STPT(10)	2362408285134059597	0 2 30 32 42 44 54 56 84 86	850659255378
SPT(16)	2362408863761191823	0 6 18 84 110 120 128 156 158 186 194 204 230 296 308 314	1429286387604
TPT(14)	2362409035765051307	0 2 72 74 114 116 192 194 270 272 390 392 402 404	1601290247088