Prime p₀= 2726438537454985277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2726437200229867937	0 2 114 116 150 152 180 182 294 296 360 362 414 416	-1337225117340
STPT(10)	2726437878456043391	0 2 6 8 48 50 90 92 96 98	-658998941886
SPT(16)	2726437990747316893	0 10 28 76 84 88 130 168 196 234 276 280 288 336 354 364	-546707668384
TPT(16)	2726438088998806619	0 2 48 50 90 92 108 110 150 152 162 164 180 182 258 260	-448456178658
STPT(10)	2726438300937695501	0 2 66 68 108 110 150 152 216 218	-236517289776
SPT(16)	2726438396463086509	0 28 54 70 78 94 120 178 210 268 294 310 318 334 360 388	-140991898768
SPT(16)	2726438575813054741	0 28 58 66 100 130 150 156 172 178 198 228 262 270 300 328	38358069464
SPT(16)	2726438767250256403	0 48 78 114 160 168 190 196 198 204 226 234 280 316 346 394	229795271126
SPT(16)	2726438822465811679	0 10 24 42 48 64 118 174 178 234 288 304 310 328 342 352	285010826402
STPT(10)	2726439202529154977	0 2 12 14 72 74 132 134 144 146	665074169700
STPT(10)	2726439843005390249	0 2 12 14 90 92 168 170 180 182	1305550404972