Prime p₀= 1058146128978098759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1058144580805562219	0 2 12 14 30 32 48 50 60 62	-1548172536540
SPT(16)	1058144898131950103	0 14 24 56 114 144 146 150 164 168 170 200 258 290 300 314	-1230846148656
SPT(16)	1058145054420571141	0 6 12 36 126 142 160 220 222 282 300 316 406 430 436 442	-1074557527618
STPT(10)	1058145444447052847	0 2 30 32 72 74 114 116 144 146	-684531045912
SPT(16)	1058145930145988251	0 16 22 46 138 162 166 168 250 252 256 280 372 396 402 418	-198832110508
SPT(16)	1058145930397114409	0 12 42 44 74 152 224 230 252 258 330 408 438 440 470 482	-198580984350
SPT(16)	1058146267173438449	0 14 24 62 108 114 128 180 242 294 308 314 360 398 408 422	138195339690
STPT(10)	1058146703809281179	0 2 18 20 30 32 42 44 60 62	574831182420
SPT(16)	1058146883602252931	0 62 68 90 110 120 158 188 252 282 320 330 350 372 378 440	754624154172
SPT(16)	1058146996934534219	0 38 98 108 128 138 188 198 290 300 350 360 380 390 450 488	867956435460
SPT(16)	1058147069891066933	0 44 50 78 110 134 138 198 206 266 270 294 326 354 360 404	940912968174