Prime p₀= 1351160472732650537 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: gemini8
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1351158447357616169	0 2 18 20 30 32 42 44 60 62	-2025375034368
SPT(16)	1351158663169809227	0 44 54 66 90 126 164 206 240 282 320 356 380 392 402 446	-1809562841310
SPT(16)	1351159267483633931	0 12 50 60 78 92 108 138 140 170 186 200 218 228 266 278	-1205249016606
SPT(16)	1351159398804202531	0 60 66 78 82 88 102 190 318 406 420 426 430 442 448 508	-1073928448006
STPT(10)	1351159470403454207	0 2 60 62 72 74 84 86 144 146	-1002329196330
STPT(10)	1351160090985245897	0 2 30 32 72 74 114 116 144 146	-381747404640
SPT(16)	1351161040700459279	0 20 68 84 90 104 110 120 158 168 174 188 194 210 258 278	567967808742
STPT(10)	1351161579406020047	0 2 12 14 42 44 72 74 84 86	1106673369510
STPT(10)	1351161643432963907	0 2 30 32 42 44 54 56 84 86	1170700313370
SPT(16)	1351161894367843549	0 4 10 52 60 82 84 112 120 148 150 172 180 222 228 232	1421635193012
SPT(20)	1351162453730626429	0 22 70 78 102 172 210 258 268 288 292 312 322 370 408 478 502 510 558 580	1980997975892