Prime p₀= 2730160012219026911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 100 2 28 2 40 2 94 2 (?)
a_n: 0 2 60 62 66 68 168 170 198 200 240 242 336 338
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: 338
Found by: JayPi
db: batch=82, k=14, 58 4 100 28 40 94

STPT(10)	2730158785703110217	0 2 30 32 42 44 54 56 84 86	-1226515916694
TPT(14)	2730159291489436451	0 2 36 38 66 68 78 80 108 110 126 128 138 140	-720729590460
TPT(14)	2730159584442590021	0 2 36 38 66 68 78 80 120 122 138 140 168 170	-427776436890
SPT(16)	2730159715592030467	0 16 30 84 144 162 172 240 256 324 334 352 412 466 480 496	-296626996444
SPT(16)	2730159939516034339	0 28 30 48 90 114 118 124 168 174 178 202 244 262 264 292	-72702992572
SPT(16)	2730159985716250397	0 6 14 50 60 72 84 92 114 122 134 146 156 192 200 206	-26502776514
SPT(16)	2730160067649541603	0 6 48 66 84 90 138 196 198 256 304 310 328 346 388 394	55430514692
SPT(16)	2730160784343345403	0 4 10 58 78 84 88 94 114 120 124 130 150 198 204 208	772124318492
STPT(10)	2730160815879687599	0 2 12 14 90 92 168 170 180 182	803660660688
SPT(16)	2730161000388018623	0 6 20 26 48 54 56 66 98 108 110 116 138 144 158 164	988168991712
SPT(16)	2730161094009207823	0 30 48 60 66 156 186 196 198 208 238 328 334 346 364 394	1081790180912