Prime p₀= 2688194783971778687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: JayPi
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2688192639019307713	0 28 54 66 90 130 160 168 226 234 264 304 328 340 366 394	-2144952470974
SPT(16)	2688192799370055017	0 14 36 66 102 192 230 252 284 306 344 434 470 500 522 536	-1984601723670
SPT(16)	2688193550299602937	0 12 100 114 120 154 172 186 250 264 282 316 322 336 424 436	-1233672175750
SPT(16)	2688193589253426533	0 30 38 56 68 138 140 186 290 336 338 408 420 438 446 476	-1194718352154
STPT(10)	2688193824498340391	0 2 30 32 78 80 126 128 156 158	-959473438296
STPT(10)	2688194259772990511	0 2 6 8 48 50 90 92 96 98	-524198788176
SPT(16)	2688194856825393887	0 14 104 116 132 152 180 186 230 236 264 284 300 312 402 416	72853615200
STPT(10)	2688194904364482221	0 2 36 38 78 80 120 122 156 158	120392703534
STPT(10)	2688195109945402007	0 2 30 32 42 44 54 56 84 86	325973623320
TPT(14)	2688195380303571029	0 2 48 50 78 80 90 92 138 140 180 182 192 194	596331792342
STPT(10)	2688195647788288739	0 2 48 50 90 92 132 134 180 182	863816510052