Prime p₀= 1537775956436869031 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: Spectrum
db: batch=78, k=10, 2 34 2 40 2

TPT(14)	1537774847603758961	0 2 30 32 108 110 138 140 156 158 198 200 246 248	-1108833110070
STPT(10)	1537775040141521537	0 2 30 32 72 74 114 116 144 146	-916295347494
SPT(16)	1537775178340658441	0 6 42 98 122 140 156 162 176 182 198 216 240 296 332 338	-778096210590
SPT(16)	1537775263645891667	0 12 92 116 216 242 246 260 276 290 294 320 420 444 524 536	-692790977364
SPT(20)	1537775539560346049	0 14 18 60 78 98 164 174 200 218 234 252 278 288 354 374 392 434 438 452	-416876522982
STPT(10)	1537775625896809289	0 2 48 50 90 92 132 134 180 182	-330540059742
STPT(10)	1537776003678487997	0 2 54 56 72 74 90 92 144 146	47241618966
SPT(16)	1537776067952165659	0 28 34 60 72 112 142 168 244 270 300 340 352 378 384 412	111515296628
SPT(16)	1537776159042901621	0 6 12 16 76 130 166 186 226 246 282 336 396 400 406 412	202606032590
SPT(16)	1537776183928742309	0 24 44 54 62 104 114 128 294 308 318 360 368 378 398 422	227491873278
SPT(16)	1537776414931789531	0 16 36 46 48 58 70 130 228 288 300 310 312 322 342 358	458494920500