Prime p₀= 2453879592579187439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 106 2 70 2 100 2 (?)
a_n: 0 2 30 32 42 44 60 62 168 170 240 242 342 344
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: 344
Found by: JayPi
db: batch=82, k=14, 28 10 16 106 70 100

STPT(10)	2453878801554921359	0 2 12 14 90 92 168 170 180 182	-791024266080
STPT(10)	2453878829597722727	0 2 12 14 72 74 132 134 144 146	-762981464712
TPT(14)	2453878919669952029	0 2 48 50 90 92 210 212 222 224 318 320 342 344	-672909235410
SPT(16)	2453878980107099603	0 14 44 78 114 128 158 170 174 186 216 230 266 300 330 344	-612472087836
SPT(16)	2453879157483587929	0 42 90 124 130 138 154 184 198 228 244 252 258 292 340 382	-435095599510
SPT(16)	2453879578536322921	0 6 12 28 40 70 76 96 112 132 138 168 180 196 202 208	-14042864518
SPT(16)	2453879761632484309	0 4 18 22 24 42 64 82 90 108 130 148 150 154 168 172	169053296870
SPT(16)	2453880576849893353	0 4 18 40 88 96 108 130 204 226 238 246 294 316 330 334	984270705914
STPT(10)	2453880622706302001	0 2 36 38 78 80 120 122 156 158	1030127114562
SPT(16)	2453880745302101779	0 52 54 72 132 144 180 184 210 214 250 262 322 340 342 394	1152722914340
SPT(16)	2453881085199672481	0 66 70 96 118 178 196 238 288 330 348 408 430 456 460 526	1492620485042