Prime p₀= 1042323167520442877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	1042322089053564841	0 42 90 106 120 132 156 162 166 172 196 208 222 238 286 328	-1078466878036
SPT(16)	1042322128622014393	0 4 24 46 70 84 114 126 184 196 226 240 264 286 306 310	-1038898428484
TPT(14)	1042322290086105827	0 2 12 14 30 32 42 44 162 164 204 206 234 236	-877434337050
STPT(10)	1042322577155361389	0 2 18 20 30 32 42 44 60 62	-590365081488
STPT(10)	1042322911048619897	0 2 30 32 72 74 114 116 144 146	-256471822980
STPT(10)	1042322933011553519	0 2 18 20 30 32 42 44 60 62	-234508889358
STPT(10)	1042323231080831669	0 2 12 14 30 32 48 50 60 62	63560388792
SPT(16)	1042323590892635297	0 2 50 56 60 72 86 126 320 360 374 386 390 396 444 446	423372192420
SPT(16)	1042323682720505177	0 6 14 26 102 104 110 146 150 186 192 194 270 282 290 296	515200062300
SPT(13)	1042323784744029169	0 12 42 90 180 198 210 222 240 330 378 408 420	617223586292
SPT(16)	1042323892137318977	0 14 20 30 36 42 44 84 92 132 134 140 146 156 162 176	724616876100