Prime p₀= 2472092432947608239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 64 2 10 2 40 2 4 2 (?)
a_n: 0 2 30 32 72 74 138 140 150 152 192 194 198 200
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: 200
Found by: Roadranner
db: batch=82, k=14, 28 40 64 10 40 4

SPT(16)	2472091036386352877	0 60 72 86 104 174 194 216 290 312 332 402 420 434 446 506	-1396561255362
SPT(16)	2472091487863771351	0 18 28 30 90 106 142 160 168 186 222 238 298 300 310 328	-945083836888
SPT(16)	2472091675975534009	0 22 28 78 108 112 220 244 348 372 480 484 514 564 570 592	-756972074230
TPT(14)	2472092126956951691	0 2 78 80 96 98 126 128 150 152 258 260 288 290	-305990656548
STPT(10)	2472092376511025627	0 2 60 62 102 104 144 146 204 206	-56436582612
TPT(14)	2472092414252804909	0 2 12 14 60 62 168 170 192 194 210 212 222 224	-18694803330
STPT(10)	2472092476017006497	0 2 12 14 72 74 132 134 144 146	43069398258
SPT(20)	2472092654808329569	0 64 78 100 102 142 148 150 168 172 210 214 232 234 240 280 282 304 318 382	221860721330
STPT(10)	2472092892907774061	0 2 30 32 78 80 126 128 156 158	459960165822
SPT(16)	2472093147263861207	0 6 14 36 60 86 102 170 216 284 300 326 350 372 380 386	714316252968
SPT(16)	2472093278628132883	0 54 70 76 94 100 106 126 148 168 174 180 198 204 220 274	845680524644