Prime p₀= 2732907391411648601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 46 2 130 2 40 2 (?)
a_n: 0 2 36 38 66 68 78 80 126 128 258 260 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 34 28 10 46 130 40

SPT(16)	2732905930613831849	0 2 74 108 140 174 188 210 272 294 308 342 374 408 480 482	-1460797816752
SPT(16)	2732906203567482827	0 24 30 42 86 104 120 180 206 266 282 300 344 356 362 386	-1187844165774
TPT(14)	2732906297474517509	0 2 42 44 120 122 228 230 252 254 288 290 312 314	-1093937131092
SPT(16)	2732906442037111523	0 14 24 56 66 74 128 140 144 156 210 218 228 260 270 284	-949374537078
SPT(16)	2732906985729020801	0 38 42 138 176 186 192 210 218 236 242 252 290 386 390 428	-405682627800
SPT(16)	2732907096427001423	0 14 44 48 54 114 168 216 248 296 350 410 416 420 450 464	-294984647178
SPT(16)	2732907468874077653	0 20 48 74 90 120 134 158 270 294 308 338 354 380 408 428	77462429052
SPT(16)	2732907849949370869	0 48 52 100 124 130 154 168 184 198 222 228 252 300 304 352	458537722268
SPT(16)	2732908181014228649	0 38 54 60 80 92 138 150 152 164 210 222 242 248 264 302	789602580048
SPT(16)	2732909121173372959	0 24 42 58 90 112 124 132 160 168 180 202 234 250 268 292	1729761724358
SPT(16)	2732909194548338471	0 50 68 72 128 138 182 206 282 306 350 360 416 420 438 488	1803136689870