Prime p₀= 2767571382900803819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2767568932851122761	0 12 28 58 72 100 102 106 162 166 168 196 210 240 256 268	-2450049681058
TPT(14)	2767569443419927871	0 2 6 8 96 98 168 170 180 182 270 272 390 392	-1939480875948
STPT(10)	2767569466480987307	0 2 42 44 72 74 102 104 144 146	-1916419816512
STPT(12)	2767569651316269461	0 2 30 32 48 50 138 140 156 158 186 188	-1731584534358
STPT(10)	2767569826654049111	0 2 30 32 60 62 90 92 120 122	-1556246754708
SPT(16)	2767571224194262711	0 10 18 36 46 88 142 190 228 276 330 372 382 400 408 418	-158706541108
SPT(16)	2767571583498865951	0 10 36 118 132 150 178 216 352 390 418 436 450 532 558 568	200598062132
STPT(10)	2767571615818048841	0 2 6 8 48 50 90 92 96 98	232917245022
SPT(16)	2767571668272636871	0 10 48 60 118 120 126 148 198 220 226 228 286 298 336 346	285371833052
STPT(10)	2767571788542843167	0 2 30 32 42 44 54 56 84 86	405642039348
STPT(10)	2767572011405011397	0 2 30 32 72 74 114 116 144 146	628504207578