Prime p₀= 2796546500016126839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2796544266842829479	0 8 92 110 132 140 182 218 264 300 342 350 372 390 474 482	-2233173297360
SPT(16)	2796544314245443439	0 20 32 54 72 74 90 104 138 152 168 170 188 210 222 242	-2185770683400
STPT(10)	2796544402395140471	0 2 6 8 48 50 90 92 96 98	-2097620986368
SPT(16)	2796545390634884039	0 2 30 32 54 68 128 132 140 144 204 218 240 242 270 272	-1109381242800
SPT(16)	2796545410209125569	0 4 10 64 102 112 120 238 264 382 390 400 438 492 498 502	-1089807001270
SPT(16)	2796545942341714393	0 108 138 160 174 186 208 244 270 306 328 340 354 376 406 514	-557674412446
STPT(10)	2796546502802527829	0 2 12 14 90 92 168 170 180 182	2786400990
SPT(16)	2796546539288517493	0 30 34 60 64 84 118 126 148 156 190 210 214 240 244 274	39272390654
SPT(16)	2796546570301043401	0 28 36 48 88 100 150 162 226 238 288 300 340 352 360 388	70284916562
STPT(10)	2796546570351990647	0 2 42 44 72 74 102 104 144 146	70335863808
STPT(10)	2796546654846770867	0 2 30 32 42 44 54 56 84 86	154830644028