Prime p₀= 746559914953358687 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: Theadalus
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	746558908501203121	0 10 36 126 156 168 178 276 442 540 550 562 592 682 708 718	-1006452155566
SPT(16)	746559180903168469	0 12 22 88 90 154 172 202 210 240 258 322 324 390 400 412	-734050190218
STPT(10)	746559203280378107	0 2 42 44 72 74 102 104 144 146	-711672980580
TPT(14)	746559312149322491	0 2 30 32 66 68 96 98 180 182 198 200 210 212	-602804036196
SPT(16)	746559418866765167	0 20 44 80 104 122 132 174 182 224 234 252 276 312 336 356	-496086593520
SPT(16)	746559784247403173	0 24 66 84 98 110 126 146 168 188 204 216 230 248 290 314	-130705955514
STPT(10)	746560105415069129	0 2 18 20 30 32 42 44 60 62	190461710442
STPT(10)	746560198520364131	0 2 36 38 78 80 120 122 156 158	283567005444
SPT(16)	746560688161992247	0 12 36 40 52 60 70 82 234 246 256 264 276 280 304 316	773208633560
SPT(16)	746561050174314901	0 30 40 42 60 88 108 120 130 142 162 190 208 210 220 250	1135220956214
STPT(12)	746561416981093031	0 2 36 38 90 92 126 128 180 182 216 218	1502027734344