Prime p₀= 3001786091063584841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	3001784139426892783	0 66 130 150 160 168 204 210 214 220 256 264 274 294 358 424	-1951636692058
SPT(16)	3001784558293366147	0 12 64 66 82 96 112 126 220 234 250 264 280 282 334 346	-1532770218694
TPT(14)	3001784829219154721	0 2 108 110 120 122 240 242 276 278 288 290 318 320	-1261844430120
SPT(16)	3001784974941426169	0 18 52 58 90 108 150 168 184 202 244 262 294 300 334 352	-1116122158672
SPT(16)	3001785371646472591	0 6 22 42 60 76 180 292 300 412 516 532 550 570 586 592	-719417112250
STPT(10)	3001785417317766881	0 2 6 8 48 50 90 92 96 98	-673745817960
SPT(16)	3001786110061790323	0 4 18 28 30 34 76 88 96 108 150 154 156 166 180 184	18998205482
SPT(18)	3001786211927913481	0 10 16 42 58 100 106 112 136 162 186 192 198 240 256 282 288 298	120864328640
SPT(16)	3001786642399138081	0 12 82 148 166 186 222 250 258 286 322 342 360 426 496 508	551335553240
SPT(16)	3001786799350866797	0 12 20 54 92 200 260 272 462 474 534 642 680 714 722 734	708287281956
TPT(14)	3001786936540738277	0 2 114 116 120 122 150 152 162 164 180 182 192 194	845477153436