Prime p₀= 950598365171408687 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: HenkM
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	950596938589841551	0 40 42 46 60 66 100 108 130 138 172 178 192 196 198 238	-1426581567136
STPT(10)	950597404058817167	0 2 42 44 72 74 102 104 144 146	-961112591520
SPT(16)	950597481751802641	0 58 78 106 150 180 208 226 372 390 418 448 492 520 540 598	-883419606046
STPT(10)	950597629986903791	0 2 6 8 48 50 90 92 96 98	-735184504896
SPT(16)	950598059166210733	0 18 40 70 88 238 246 286 300 340 348 498 516 546 568 586	-306005197954
SPT(16)	950598147440934037	0 66 94 112 126 190 210 250 276 316 336 400 414 432 460 526	-217730474650
SPT(16)	950598530122833811	0 42 70 76 130 148 168 186 202 220 240 258 312 318 346 388	164951425124
SPT(16)	950598610571843521	0 10 16 40 58 60 82 96 112 126 148 150 168 192 198 208	245400434834
STPT(10)	950598935784040157	0 2 24 26 42 44 60 62 84 86	570612631470
STPT(10)	950599256451380321	0 2 36 38 78 80 120 122 156 158	891279971634
SPT(16)	950599815842816947	0 12 16 36 42 70 96 114 202 220 246 274 280 300 304 316	1450671408260