Prime p₀= 2796546502802527829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2796544314245443439	0 20 32 54 72 74 90 104 138 152 168 170 188 210 222 242	-2188557084390
STPT(10)	2796544402395140471	0 2 6 8 48 50 90 92 96 98	-2100407387358
SPT(16)	2796545390634884039	0 2 30 32 54 68 128 132 140 144 204 218 240 242 270 272	-1112167643790
SPT(16)	2796545410209125569	0 4 10 64 102 112 120 238 264 382 390 400 438 492 498 502	-1092593402260
SPT(16)	2796545942341714393	0 108 138 160 174 186 208 244 270 306 328 340 354 376 406 514	-560460813436
STPT(10)	2796546500016126839	0 2 42 44 60 62 78 80 120 122	-2786400990
SPT(16)	2796546539288517493	0 30 34 60 64 84 118 126 148 156 190 210 214 240 244 274	36485989664
SPT(16)	2796546570301043401	0 28 36 48 88 100 150 162 226 238 288 300 340 352 360 388	67498515572
STPT(10)	2796546570351990647	0 2 42 44 72 74 102 104 144 146	67549462818
STPT(10)	2796546654846770867	0 2 30 32 42 44 54 56 84 86	152044243038
SPT(16)	2796547218229492543	0 4 30 40 58 78 88 114 154 180 190 210 228 238 264 268	715426964714