Prime p₀= 2627688757103680817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 82 2 58 2 124 2 (?)
a_n: 0 2 30 32 42 44 120 122 204 206 264 266 390 392
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: 392
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 10 76 82 58 124

SPT(16)	2627687604773975221	0 30 52 60 78 106 112 130 168 186 192 220 238 246 268 298	-1152329705596
STPT(10)	2627687805421554059	0 2 18 20 30 32 42 44 60 62	-951682126758
SPT(16)	2627688079607967427	0 30 64 84 106 120 126 172 174 220 226 240 262 282 316 346	-677495713390
SPT(16)	2627688194524706969	0 24 32 78 80 174 194 222 230 258 278 372 374 420 428 452	-562578973848
SPT(16)	2627688320905926169	0 22 28 40 42 52 64 82 150 168 180 190 192 204 210 232	-436197754648
STPT(10)	2627688602285776031	0 2 36 38 78 80 120 122 156 158	-154817904786
SPT(16)	2627689459895693341	0 16 30 100 108 150 166 186 262 282 298 340 348 418 432 448	702792012524
STPT(10)	2627690067258588107	0 2 12 14 42 44 72 74 84 86	1310154907290
SPT(16)	2627690568947469533	0 14 44 48 60 128 138 144 170 176 186 254 266 270 300 314	1811843788716
STPT(10)	2627690689877287427	0 2 30 32 42 44 54 56 84 86	1932773606610
SPT(16)	2627691215896145573	0 6 30 48 56 66 74 104 150 180 188 198 206 224 248 254	2458792464756