Prime p₀= 1578932834828894537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 34 2 10 2 16 2 22 2 (?)
a_n: 0 2 42 44 144 146 180 182 192 194 210 212 234 236
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: 236
Found by: Raspo
db: batch=78, k=14, 40 100 34 10 16 22

SPT(16)	1578931984476615469	0 12 24 42 52 88 94 130 162 198 204 240 250 268 280 292	-850352279068
STPT(10)	1578932092772761421	0 2 36 38 168 170 300 302 336 338	-742056133116
SPT(16)	1578932235369878321	0 18 30 38 50 78 102 132 158 188 212 240 252 260 272 290	-599459016216
STPT(10)	1578932309476513931	0 2 30 32 60 62 90 92 120 122	-525352380606
TPT(14)	1578932671989914147	0 2 12 14 102 104 294 296 420 422 450 452 480 482	-162838980390
SPT(16)	1578932697269424181	0 10 18 70 90 198 202 210 268 276 280 388 408 460 468 478	-137559470356
SPT(16)	1578933016013349709	0 4 10 30 58 70 88 138 214 264 282 294 322 342 348 352	181184455172
SPT(16)	1578933214955719319	0 68 78 90 98 132 170 212 228 270 308 342 350 362 372 440	380126824782
SPT(16)	1578933403552513537	0 40 60 64 70 102 106 124 162 180 184 216 222 226 246 286	568723619000
SPT(16)	1578933581248908413	0 14 84 90 116 128 138 140 144 146 156 168 194 200 270 284	746420013876
SPT(16)	1578934144414343351	0 18 38 48 66 120 122 182 186 246 248 302 320 330 350 368	1309585448814