Prime p₀= 2060607167567383739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 10 2 130 2 4 2 40 2 (?)
a_n: 0 2 78 80 108 110 120 122 252 254 258 260 300 302
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: 302
Found by: Landjunge
db: batch=80, k=14, 76 28 10 130 4 40

SPT(16)	2060604936063464023	0 24 46 76 90 106 114 136 168 190 198 214 228 258 280 304	-2231503919716
SPT(18)	2060605026311242277	0 6 14 42 60 102 104 132 146 270 284 312 314 356 374 402 410 416	-2141256141462
STPT(10)	2060605274570834447	0 2 30 32 42 44 54 56 84 86	-1892996549292
STPT(10)	2060605318866157631	0 2 78 80 138 140 198 200 276 278	-1848701226108
SPT(16)	2060606277694016111	0 8 96 168 198 210 296 356 372 432 518 530 560 632 720 728	-889873367628
SPT(16)	2060607141108788611	0 6 16 70 76 118 120 132 136 148 150 192 198 252 262 268	-26458595128
STPT(10)	2060607248218743407	0 2 30 32 42 44 54 56 84 86	80651359668
SPT(16)	2060607565203213199	0 12 24 40 82 90 108 130 132 154 172 180 222 238 250 262	397635829460
STPT(10)	2060607577273274987	0 2 60 62 72 74 84 86 144 146	409705891248
SPT(16)	2060607722869519193	0 30 60 66 96 164 194 200 234 240 270 338 368 374 404 434	555302135454
STPT(10)	2060607948760247981	0 2 6 8 48 50 90 92 96 98	781192864242