Prime p₀= 2124581370236575037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Time_Traveler
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2124579873734885383	0 6 40 70 84 90 166 180 190 204 280 286 300 330 364 370	-1496501689654
SPT(16)	2124579941962156387	0 22 52 60 112 126 132 144 262 274 280 294 346 354 384 406	-1428274418650
SPT(16)	2124579970599644269	0 10 34 40 88 130 154 160 222 228 252 294 342 348 372 382	-1399636930768
SPT(16)	2124580933131410213	0 38 108 120 146 150 168 176 180 188 206 210 236 248 318 356	-437105164824
TPT(14)	2124580997666597441	0 2 30 32 96 98 168 170 270 272 306 308 360 362	-372569977596
SPT(16)	2124581367587382637	0 16 22 66 112 126 136 156 160 180 190 204 250 294 300 316	-2649192400
SPT(16)	2124581744195378471	0 2 42 80 90 126 198 210 278 290 362 398 408 446 486 488	373958803434
STPT(10)	2124582366862034237	0 2 30 32 72 74 114 116 144 146	996625459200
SPT(18)	2124582503180680069	0 24 42 52 90 94 150 174 252 280 358 382 438 442 480 490 508 532	1132944105032
TPT(14)	2124582966390886229	0 2 42 44 132 134 138 140 198 200 252 254 270 272	1596154311192
STPT(10)	2124583101338301509	0 2 42 44 90 92 138 140 180 182	1731101726472