Prime p₀= 1019841178439524547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1019840050865986289	0 2 30 32 60 62 90 92 120 122	-1127573538258
TPT(14)	1019840169631506779	0 2 78 80 90 92 108 110 132 134 138 140 150 152	-1008808017768
SPT(16)	1019840289281682853	0 34 40 66 84 108 136 150 154 168 196 220 238 264 270 304	-889157841694
SPT(16)	1019840320694190571	0 30 58 72 88 120 162 192 196 226 268 300 316 330 358 388	-857745333976
STPT(10)	1019840887244431139	0 2 18 20 30 32 42 44 60 62	-291195093408
SPT(16)	1019841103888557151	0 90 112 192 262 286 300 346 396 442 456 480 550 630 652 742	-74550967396
SPT(16)	1019841202382590001	0 18 50 116 120 128 162 176 192 206 240 248 252 318 350 368	23943065454
SPT(16)	1019841497361592487	0 2 32 92 110 116 150 180 182 212 246 252 270 330 360 362	318922067940
SPT(16)	1019842639324397653	0 10 36 58 66 100 136 144 160 168 204 238 246 268 294 304	1460884873106
STPT(10)	1019843286880841117	0 2 30 32 60 62 90 92 120 122	2108441316570
SPT(16)	1019843527489313479	0 12 52 54 58 108 124 144 148 168 184 234 238 240 280 292	2349049788932