Prime p₀= 2648346267420299651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2648345893322603039	0 14 30 44 60 80 102 104 168 170 192 212 228 242 258 272	-374097696612
STPT(10)	2648345943480571421	0 2 6 8 48 50 90 92 96 98	-323939728230
SPT(16)	2648346018813959173	0 24 28 36 64 78 94 120 124 150 166 180 208 216 220 244	-248606340478
SPT(16)	2648346127671362669	0 12 80 92 134 180 218 222 260 264 302 348 390 402 470 482	-139748936982
STPT(10)	2648346205265023577	0 2 12 14 42 44 72 74 84 86	-62155276074
SPT(16)	2648346254873809069	0 12 42 72 108 130 138 172 180 214 222 244 280 310 340 352	-12546490582
SPT(13)	2648346438429475501	0 60 90 102 126 132 156 180 186 210 222 252 312	171009175850
SPT(16)	2648346860386475239	0 52 82 90 102 112 150 168 172 190 228 238 250 258 288 340	592966175588
TPT(14)	2648346860809205657	0 2 12 14 54 56 90 92 162 164 180 182 252 254	593388906006
TPT(14)	2648347262203312289	0 2 12 14 48 50 138 140 180 182 240 242 252 254	994783012638
SPT(16)	2648347285484490127	0 4 24 76 90 114 124 136 174 186 196 220 234 286 306 310	1018064190476