Prime p₀= 2772049335302685467 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2772047323728281461	0 42 52 90 118 142 172 210 220 258 288 312 340 378 388 430	-2011574404006
STPT(10)	2772047496511484039	0 2 30 32 60 62 90 92 120 122	-1838791201428
SPT(16)	2772047602876441567	0 42 46 82 84 90 96 150 196 250 256 262 264 300 304 346	-1732426243900
SPT(16)	2772047713946731117	0 66 72 132 210 216 234 244 252 262 280 286 364 424 430 496	-1621355954350
SPT(16)	2772048566662146017	0 24 32 36 60 74 96 114 122 140 162 176 200 204 212 236	-768640539450
STPT(10)	2772049012100241659	0 2 30 32 60 62 90 92 120 122	-323202443808
SPT(16)	2772050520124097351	0 2 32 60 72 90 96 102 140 146 152 170 182 210 240 242	1184821411884
TPT(14)	2772050541423010451	0 2 30 32 48 50 60 62 90 92 240 242 258 260	1206120324984
STPT(10)	2772051294926235767	0 2 30 32 42 44 54 56 84 86	1959623550300
SPT(16)	2772051394385714393	0 8 50 60 66 84 86 96 98 108 110 128 134 144 186 194	2059083028926
STPT(10)	2772051449782838147	0 2 12 14 42 44 72 74 84 86	2114480152680