Prime p₀= 2159913357107571827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 118 2 4 2 82 2 64 2 58 2 (?)
a_n: 0 2 114 116 234 236 240 242 324 326 390 392 450 452
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: 452
Found by: Landjunge
db: batch=81, k=14, 112 118 4 82 64 58

STPT(10)	2159912026898096459	0 2 18 20 30 32 42 44 60 62	-1330209475368
TPT(14)	2159912207775172271	0 2 36 38 78 80 120 122 126 128 156 158 168 170	-1149332399556
SPT(16)	2159912671865490797	0 2 62 90 92 126 132 140 156 164 170 204 206 234 294 296	-685242081030
SPT(16)	2159912920787632831	0 28 42 60 72 112 142 148 150 156 186 226 238 256 270 298	-436319938996
STPT(10)	2159913078022618727	0 2 30 32 42 44 54 56 84 86	-279084953100
STPT(10)	2159913215236359617	0 2 60 62 72 74 84 86 144 146	-141871212210
STPT(12)	2159913392876417909	0 2 12 14 42 44 78 80 108 110 120 122	35768846082
TPT(14)	2159913392876417909	0 2 12 14 42 44 78 80 108 110 120 122 150 152	35768846082
STPT(10)	2159913405703257947	0 2 30 32 42 44 54 56 84 86	48595686120
SPT(16)	2159913458660977073	0 110 140 150 164 174 216 306 314 404 446 456 470 480 510 620	101553405246
TPT(14)	2159913605808152417	0 2 12 14 84 86 150 152 210 212 252 254 264 266	248700580590