Prime p₀= 4364291049183966911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 106 2 40 2 16 2 22 2 28 2 (?)
a_n: 0 2 138 140 246 248 288 290 306 308 330 332 360 362
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: 362
Found by: Arkhenia
db: batch=85, k=14, 136 106 40 16 22 28

SPT(16)	4364289488050116113	0 54 86 90 114 206 230 264 266 300 324 416 440 444 476 530	-1561133850798
SPT(16)	4364290112088454459	0 4 28 108 198 234 240 268 450 478 484 520 610 690 714 718	-937095512452
STPT(10)	4364290127720052377	0 2 12 14 42 44 72 74 84 86	-921463914534
SPT(16)	4364290431928520993	0 18 86 98 104 158 168 230 324 386 396 450 456 468 536 554	-617255445918
SPT(16)	4364290846159395551	0 36 50 86 98 110 168 218 288 338 396 408 420 456 470 506	-203024571360
SPT(16)	4364290864372134139	0 72 138 208 268 280 288 300 352 364 372 384 444 514 580 652	-184811832772
SPT(16)	4364291572685085641	0 6 62 66 80 90 108 116 132 140 158 168 182 186 242 248	523501118730
SPT(16)	4364291702245489363	0 30 70 84 90 94 108 118 126 136 150 154 160 174 214 244	653061522452
TPT(14)	4364292007847850017	0 2 60 62 90 92 102 104 144 146 174 176 240 242	958663883106
STPT(12)	4364292156404299157	0 2 42 44 84 86 150 152 192 194 234 236	1107220332246
SPT(16)	4364292300671221067	0 2 44 62 80 90 114 134 240 260 284 294 312 330 372 374	1251487254156