Prime p₀= 1065022355998805777 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: Skivelitis2
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1065019980692829377	0 30 86 104 140 236 264 266 270 272 300 396 432 450 506 536	-2375305976400
STPT(10)	1065020796833299211	0 2 6 8 48 50 90 92 96 98	-1559165506566
SPT(16)	1065020893280063771	0 6 42 50 56 72 108 126 212 230 266 282 288 296 332 338	-1462718742006
SPT(16)	1065021048778626007	0 34 76 124 126 132 172 220 246 294 334 340 342 390 432 466	-1307220179770
SPT(16)	1065021230827616077	0 4 54 72 112 126 142 144 262 264 280 294 334 352 402 406	-1125171189700
SPT(16)	1065021691209451139	0 2 128 132 198 222 258 282 290 314 350 374 440 444 570 572	-664789354638
SPT(16)	1065022645813071329	0 38 60 74 108 168 170 174 224 228 230 290 324 338 360 398	289814265552
STPT(10)	1065022888895845877	0 2 90 92 132 134 174 176 264 266	532897040100
STPT(10)	1065022944591135707	0 2 90 92 102 104 114 116 204 206	588592329930
STPT(10)	1065023016935429171	0 2 6 8 48 50 90 92 96 98	660936623394
SPT(16)	1065023025138114403	0 58 60 64 84 88 100 118 240 258 270 274 294 298 300 358	669139308626