Prime p₀= 4305793551142103717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: Chooka
db: batch=85, k=10, 2 52 2 16 2

STPT(10)	4305790737878246117	0 2 12 14 72 74 132 134 144 146	-2813263857600
TPT(14)	4305790773009724127	0 2 42 44 132 134 150 152 174 176 252 254 264 266	-2778132379590
SPT(16)	4305790965468222367	0 42 70 96 112 130 166 252 340 426 462 480 496 522 550 592	-2585673881350
SPT(16)	4305791600560292377	0 10 34 72 94 100 132 190 204 262 294 300 322 360 384 394	-1950581811340
SPT(18)	4305792180130679617	0 22 106 130 136 186 214 222 250 276 304 312 340 390 396 420 504 526	-1371011424100
SPT(16)	4305793212189550793	0 6 26 50 56 78 96 110 126 140 158 180 186 210 230 236	-338952552924
STPT(10)	4305795195561166757	0 2 72 74 102 104 132 134 204 206	1644419063040
STPT(12)	4305795261522844469	0 2 18 20 42 44 48 50 72 74 90 92	1710380740752
STPT(10)	4305795316027462331	0 2 6 8 48 50 90 92 96 98	1764885358614
SPT(16)	4305795579613663153	0 6 28 64 120 156 160 168 196 204 208 244 300 336 358 364	2028471559436
SPT(16)	4305795960466226299	0 34 40 64 72 112 132 154 168 190 210 250 258 282 288 322	2409324122582