Prime p₀= 2751713632912645019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 34 2 10 2 10 2 94 2 (?)
a_n: 0 2 90 92 132 134 168 170 180 182 192 194 288 290
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: 290
Found by: [SG-FC] hl
db: batch=82, k=14, 88 40 34 10 10 94

SPT(16)	2751712708280580413	0 26 56 78 96 120 134 176 228 270 284 308 326 348 378 404	-924632064606
STPT(10)	2751712738036823381	0 2 6 8 18 20 30 32 36 38	-894875821638
SPT(16)	2751712783912718809	0 22 40 42 78 100 102 120 130 148 150 172 208 210 228 250	-848999926210
STPT(10)	2751712821506247869	0 2 48 50 90 92 132 134 180 182	-811406397150
STPT(10)	2751712957853859677	0 2 60 62 72 74 84 86 144 146	-675058785342
SPT(16)	2751713323775453117	0 44 54 104 114 174 204 212 222 230 260 320 330 380 390 434	-309137191902
SPT(16)	2751713778001630571	0 6 48 96 108 120 132 140 288 296 308 320 332 380 422 428	145088985552
SPT(16)	2751713873552303903	0 8 24 36 48 50 74 78 206 210 234 236 248 260 276 284	240639658884
TPT(14)	2751714171237008639	0 2 48 50 60 62 72 74 102 104 132 134 210 212	538324363620
STPT(10)	2751714307880168747	0 2 30 32 42 44 54 56 84 86	674967523728
SPT(16)	2751714391411746203	0 14 20 24 48 60 66 80 144 158 164 176 200 204 210 224	758499101184