Prime p₀= 2944492068206659517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 64 2 10 2 16 2 22 2 (?)
a_n: 0 2 54 56 84 86 150 152 162 164 180 182 204 206
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: 206
Found by: Alnitak2019
db: batch=82, k=14, 52 28 64 10 16 22

TPT(16)	2944491029107416959	0 2 18 20 102 104 120 122 210 212 258 260 288 290 372 374	-1039099242558
SPT(16)	2944491109527446651	0 6 56 116 120 162 168 182 216 230 236 278 282 342 392 398	-958679212866
SPT(16)	2944491121901289683	0 38 50 78 90 104 114 120 134 140 150 164 176 204 216 254	-946305369834
SPT(16)	2944491216142307123	0 8 48 78 90 138 186 200 204 218 266 314 326 356 396 404	-852064352394
SPT(16)	2944491340984502233	0 28 58 64 66 114 126 148 156 178 190 238 240 246 276 304	-727222157284
STPT(10)	2944491351266588897	0 2 12 14 72 74 132 134 144 146	-716940070620
SPT(16)	2944492124039455859	0 24 44 50 62 104 108 158 174 224 228 270 282 288 308 332	55832796342
TPT(14)	2944492628979928337	0 2 42 44 132 134 210 212 234 236 264 266 330 332	560773268820
SPT(16)	2944492685786449111	0 10 12 18 28 30 42 66 172 196 208 210 220 226 228 238	617579789594
SPT(16)	2944492947680704549	0 10 52 64 94 100 112 120 184 192 204 210 240 252 294 304	879474045032
SPT(16)	2944493299750094809	0 22 34 78 90 118 160 168 244 252 294 322 334 378 390 412	1231543435292