Prime p₀= 2109603935977455527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 190 2 16 2 52 2 28 2 94 2 22 2 (?)
a_n: 0 2 192 194 210 212 264 266 294 296 390 392 414 416
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: 416
Found by: Landjunge
db: batch=80, k=14, 190 16 52 28 94 22

SPT(16)	2109601972888156807	0 30 40 42 90 100 120 124 162 166 186 196 244 246 256 286	-1963089298720
STPT(10)	2109602200886805797	0 2 42 44 72 74 102 104 144 146	-1735090649730
STPT(12)	2109602289364665257	0 2 24 26 84 86 120 122 180 182 204 206	-1646612790270
SPT(16)	2109602649565970899	0 40 60 88 112 124 130 138 214 222 228 240 264 292 312 352	-1286411484628
SPT(16)	2109603219425777459	0 18 30 44 48 60 72 98 114 140 152 164 168 182 194 212	-716551678068
SPT(16)	2109603923636221933	0 18 30 46 64 78 100 114 130 144 166 180 198 214 226 244	-12341233594
STPT(10)	2109604323862228967	0 2 12 14 72 74 132 134 144 146	387884773440
SPT(16)	2109604428308892323	0 8 48 54 74 90 98 138 176 216 224 240 260 266 306 314	492331436796
SPT(16)	2109604735151800631	0 8 12 38 92 98 188 210 218 240 330 336 390 416 420 428	799174345104
STPT(10)	2109604764322216919	0 2 18 20 30 32 42 44 60 62	828344761392
STPT(10)	2109604969387376519	0 2 42 44 60 62 78 80 120 122	1033409920992