Prime p₀= 2539189521031326197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 94 2 10 2 10 2 34 2 10 2 (?)
a_n: 0 2 114 116 210 212 222 224 234 236 270 272 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 112 94 10 10 34 10

SPT(16)	2539188733386999131	0 12 42 72 86 96 98 102 476 480 482 492 506 536 566 578	-787644327066
SPT(16)	2539188839058281713	0 4 6 64 94 106 114 136 168 190 198 210 240 298 300 304	-681973044484
STPT(10)	2539189062743364011	0 2 36 38 78 80 120 122 156 158	-458287962186
STPT(12)	2539189288896097499	0 2 30 32 60 62 72 74 102 104 132 134	-232135228698
SPT(16)	2539189409074891843	0 30 48 58 76 96 100 130 156 186 190 210 228 238 256 286	-111956434354
TPT(14)	2539189501464247271	0 2 6 8 78 80 96 98 120 122 168 170 210 212	-19567078926
STPT(10)	2539189734965990927	0 2 60 62 72 74 84 86 144 146	213934664730
SPT(16)	2539190073316577699	0 18 44 68 72 74 128 132 140 144 198 200 204 228 254 272	552285251502
STPT(10)	2539190077130533709	0 2 42 44 120 122 198 200 240 242	556099207512
SPT(16)	2539190145111820457	0 32 60 126 132 144 180 186 230 236 272 284 290 356 384 416	624080494260
TPT(14)	2539191137736664571	0 2 18 20 66 68 96 98 186 188 270 272 408 410	1616705338374