Prime p₀= 2726305266675901061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 28 2 124 2 10 2 10 2 (?)
a_n: 0 2 6 8 60 62 90 92 216 218 228 230 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 4 52 28 124 10 10

SPT(16)	2726303332945450417	0 22 46 60 102 106 112 124 132 144 150 154 196 210 234 256	-1933730450644
SPT(16)	2726303859827089237	0 24 42 70 72 94 100 154 222 276 282 304 306 334 352 376	-1406848811824
SPT(16)	2726304412757705851	0 36 52 58 60 66 126 142 156 172 232 238 240 246 262 298	-853918195210
SPT(16)	2726304546363654203	0 8 24 78 84 90 110 216 308 414 434 440 446 500 516 524	-720312246858
STPT(10)	2726304795750816359	0 2 48 50 60 62 72 74 120 122	-470925084702
STPT(10)	2726304970826978909	0 2 18 20 30 32 42 44 60 62	-295848922152
SPT(16)	2726305833963582047	0 36 42 50 56 84 134 176 240 282 332 360 366 374 380 416	567287680986
TPT(14)	2726306617424067521	0 2 6 8 96 98 156 158 180 182 306 308 390 392	1350748166460
SPT(16)	2726306794102358197	0 40 64 70 82 112 136 162 184 210 234 264 276 282 306 346	1527426457136
STPT(10)	2726306840255222639	0 2 48 50 60 62 72 74 120 122	1573579321578
STPT(10)	2726306890422127877	0 2 42 44 72 74 102 104 144 146	1623746226816