Prime p₀= 23540916320895287 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: ChelseaOilman
db: batch=65, k=10, 2 10 2 28 2

SPT(14)	23540863648267871	0 20 36 48 66 78 92 96 110 122 140 152 168 188	-52672627416
SPT(14)	23540866554000241	0 42 90 108 112 160 168 172 180 228 232 250 298 340	-49766895046
TPT(12)	23540869310366897	0 2 54 56 84 86 102 104 144 146 150 152	-47010528390
SPT(14)	23540882402872529	0 24 32 38 92 132 158 234 260 300 354 360 368 392	-33918022758
SPT(14)	23540891955447409	0 12 82 100 142 144 184 228 268 270 312 330 400 412	-24365447878
SPT(14)	23540916065558123	0 44 68 74 84 108 138 170 200 224 234 240 264 308	-255337164
TPT(12)	23540918457643661	0 2 48 50 90 92 96 98 258 260 378 380	2136748374
SPT(14)	23540920617021917	0 6 14 54 72 110 114 152 156 194 212 252 260 266	4296126630
SPT(14)	23540929862175079	0 4 28 40 70 72 82 90 100 102 132 144 168 172	13541279792
SPT(14)	23540930153148637	0 6 22 36 64 106 126 130 150 192 220 234 250 256	13832253350
SPT(14)	23540937163273793	0 8 26 48 68 86 90 134 138 156 176 198 216 224	20842378506