Prime p₀= 1065022888895845877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Theadalus
db: batch=76, k=10, 2 88 2 40 2

SPT(16)	1065020893280063771	0 6 42 50 56 72 108 126 212 230 266 282 288 296 332 338	-1995615782106
SPT(16)	1065021048778626007	0 34 76 124 126 132 172 220 246 294 334 340 342 390 432 466	-1840117219870
SPT(16)	1065021230827616077	0 4 54 72 112 126 142 144 262 264 280 294 334 352 402 406	-1658068229800
SPT(16)	1065021691209451139	0 2 128 132 198 222 258 282 290 314 350 374 440 444 570 572	-1197686394738
STPT(10)	1065022355998805777	0 2 24 26 42 44 60 62 84 86	-532897040100
SPT(16)	1065022645813071329	0 38 60 74 108 168 170 174 224 228 230 290 324 338 360 398	-243082774548
STPT(10)	1065022944591135707	0 2 90 92 102 104 114 116 204 206	55695289830
STPT(10)	1065023016935429171	0 2 6 8 48 50 90 92 96 98	128039583294
SPT(16)	1065023025138114403	0 58 60 64 84 88 100 118 240 258 270 274 294 298 300 358	136242268526
STPT(10)	1065023138111858207	0 2 60 62 72 74 84 86 144 146	249216012330
SPT(16)	1065023192220897389	0 8 12 50 78 98 110 132 308 330 342 362 390 428 432 440	303325051512