Prime p₀= 2850591607560170429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Odd-Rod
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2850590534598163463	0 8 30 38 86 98 144 168 236 260 306 318 366 374 396 404	-1072962006966
STPT(10)	2850590759029067111	0 2 36 38 78 80 120 122 156 158	-848531103318
SPT(16)	2850590923077616307	0 26 50 92 102 176 222 242 354 374 420 494 504 546 570 596	-684482554122
TPT(14)	2850591198459550289	0 2 30 32 42 44 198 200 282 284 408 410 468 470	-409100620140
TPT(14)	2850591396279163907	0 2 12 14 30 32 54 56 102 104 210 212 240 242	-211281006522
SPT(16)	2850591463303397741	0 2 36 48 56 78 90 92 96 98 110 132 140 152 186 188	-144256772688
TPT(14)	2850591723878242037	0 2 24 26 72 74 114 116 180 182 204 206 222 224	116318071608
STPT(10)	2850591947051245091	0 2 30 32 60 62 90 92 120 122	339491074662
SPT(16)	2850591970646079827	0 6 14 30 56 60 90 96 104 110 140 144 170 186 194 200	363085909398
STPT(10)	2850592194202961237	0 2 30 32 42 44 54 56 84 86	586642790808
SPT(16)	2850592371008442871	0 10 12 48 82 142 178 198 220 240 276 336 370 406 408 418	763448272442