Prime p₀= 1037953900189536299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 10 2 16 2

SPT(16)	1037952562150377409	0 12 42 54 60 70 72 184 240 352 354 364 370 382 412 424	-1338039158890
STPT(10)	1037952609639449501	0 2 6 8 48 50 90 92 96 98	-1290550086798
SPT(16)	1037952792152252969	0 20 24 42 48 132 144 152 180 188 200 284 290 308 312 332	-1108037283330
STPT(10)	1037952808994838767	0 2 30 32 60 62 90 92 120 122	-1091194697532
SPT(16)	1037952811694943211	0 12 22 42 46 156 166 196 216 246 256 366 370 390 400 412	-1088494593088
SPT(16)	1037953509527980999	0 4 24 70 78 94 120 162 310 352 378 394 402 448 468 472	-390661555300
STPT(10)	1037954022219646067	0 2 30 32 42 44 54 56 84 86	122030109768
SPT(16)	1037954102044433863	0 4 18 60 66 70 84 94 120 130 144 148 154 196 210 214	201854897564
STPT(10)	1037954295097372019	0 2 12 14 90 92 168 170 180 182	394907835720
STPT(10)	1037954387549474909	0 2 48 50 90 92 132 134 180 182	487359938610
STPT(10)	1037954394942042839	0 2 48 50 60 62 72 74 120 122	494752506540