Prime p₀= 2648811974297823209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 88 2 82 2 94 2 40 2 (?)
a_n: 0 2 30 32 78 80 168 170 252 254 348 350 390 392
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: [SG-FC] hl
db: batch=82, k=14, 28 46 88 82 94 40

SPT(16)	2648810296732700501	0 30 66 108 126 140 156 168 200 212 228 242 260 302 338 368	-1677565122708
SPT(16)	2648810364114869263	0 30 46 64 70 88 100 106 108 114 126 144 150 168 184 214	-1610182953946
SPT(16)	2648810750237297717	0 14 24 42 66 86 96 110 156 170 180 200 224 242 252 266	-1224060525492
STPT(10)	2648810846362551917	0 2 54 56 72 74 90 92 144 146	-1127935271292
SPT(16)	2648811535115178077	0 32 36 54 116 120 126 164 222 260 266 270 332 350 354 386	-439182645132
STPT(10)	2648811849761038901	0 2 36 38 78 80 120 122 156 158	-124536784308
SPT(16)	2648812606144952267	0 62 144 150 164 180 212 236 270 294 326 342 356 362 444 506	631847129058
STPT(10)	2648812946536310339	0 2 42 44 60 62 78 80 120 122	972238487130
SPT(16)	2648813144347658983	0 10 34 66 90 100 106 136 168 198 204 214 238 270 294 304	1170049835774
SPT(16)	2648813308707377437	0 10 70 72 96 126 160 174 202 216 250 280 304 306 366 376	1334409554228
TPT(14)	2648813383961000987	0 2 12 14 90 92 120 122 150 152 162 164 174 176	1409663177778