Prime p₀= 2864711405164389827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2864710157049290021	0 2 36 38 108 110 180 182 216 218	-1248115099806
STPT(12)	2864710157428091417	0 2 54 56 90 92 174 176 210 212 264 266	-1247736298410
STPT(10)	2864711007443199527	0 2 30 32 42 44 54 56 84 86	-397721190300
SPT(16)	2864711017307211217	0 22 36 46 52 90 94 96 160 162 166 204 210 220 234 256	-387857178610
SPT(16)	2864711109684924541	0 48 52 72 82 90 108 132 136 160 178 186 196 216 220 268	-295479465286
SPT(16)	2864711360899725497	0 24 42 72 84 90 140 150 206 216 266 272 284 314 332 356	-44264664330
STPT(10)	2864711678070773519	0 2 18 20 30 32 42 44 60 62	272906383692
STPT(10)	2864711876777559437	0 2 30 32 72 74 114 116 144 146	471613169610
STPT(10)	2864711989476750779	0 2 42 44 60 62 78 80 120 122	584312360952
STPT(10)	2864712167712302819	0 2 18 20 30 32 42 44 60 62	762547912992
SPT(16)	2864712555128825749	0 18 22 34 64 90 130 132 190 192 232 258 288 300 304 322	1149964435922