Prime p₀= 2738592427891895381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 64 2 10 2 10 2 16 2 58 2 (?)
a_n: 0 2 120 122 186 188 198 200 210 212 228 230 288 290
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: 290
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 118 64 10 10 16 58

SPT(16)	2738590463479106149	0 18 30 40 60 70 88 112 198 222 240 250 270 280 292 310	-1964412789232
STPT(10)	2738590717653012917	0 2 30 32 60 62 90 92 120 122	-1710238882464
STPT(10)	2738591119460887511	0 2 6 8 18 20 30 32 36 38	-1308431007870
SPT(16)	2738591143742307307	0 16 24 42 70 72 94 124 312 342 364 366 394 412 420 436	-1284149588074
STPT(10)	2738591687674037981	0 2 30 32 78 80 126 128 156 158	-740217857400
TPT(14)	2738591850903114179	0 2 42 44 150 152 162 164 198 200 240 242 348 350	-576988781202
SPT(16)	2738592911252090797	0 60 76 132 136 186 192 210 262 280 286 336 340 396 412 472	483360195416
SPT(18)	2738593720585833919	0 30 40 72 90 118 132 142 172 210 240 250 264 292 310 342 352 382	1292693938538
SPT(16)	2738593965486986779	0 22 54 72 138 162 184 204 208 228 250 274 340 358 390 412	1537595091398
STPT(12)	2738594059091690477	0 2 12 14 30 32 42 44 60 62 72 74	1631199795096
SPT(16)	2738594094646764271	0 52 82 102 130 136 150 220 282 352 366 372 400 420 450 502	1666754868890