Prime p₀= 2811528287290303277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 16 2 28 2 10 2 16 2 (?)
a_n: 0 2 12 14 54 56 72 74 102 104 114 116 132 134
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: 134
Found by: JayPi
db: batch=82, k=14, 10 40 16 28 10 16

SPT(16)	2811527532741576343	0 10 24 30 58 70 78 88 126 136 144 156 184 190 204 214	-754548726934
STPT(10)	2811527664797057021	0 2 6 8 48 50 90 92 96 98	-622493246256
SPT(16)	2811527848745975581	0 6 28 66 88 112 160 180 208 228 276 300 322 360 382 388	-438544327696
SPT(13)	2811527871413193169	0 18 90 108 168 228 234 240 300 360 378 450 468	-415877110108
SPT(16)	2811528070304651567	0 6 20 42 56 60 62 72 74 84 86 90 104 126 140 146	-216985651710
SPT(16)	2811528242968074907	0 60 106 120 160 162 172 202 300 330 340 342 382 396 442 502	-44322228370
SPT(16)	2811528452392052317	0 40 52 60 70 82 96 144 172 220 234 246 256 264 276 316	165101749040
TPT(14)	2811528891139188767	0 2 30 32 204 206 222 224 240 242 252 254 264 266	603848885490
SPT(16)	2811529315764782101	0 10 16 42 46 58 88 112 126 150 180 192 196 222 228 238	1028474478824
TPT(14)	2811529317145914509	0 2 72 74 102 104 282 284 300 302 390 392 408 410	1029855611232
SPT(16)	2811529687436195749	0 18 28 48 64 90 162 214 228 280 352 378 394 414 424 442	1400145892472